How do I simplify radicals?

Answers

Answer 1

Answer:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Click on the link to see some examples of Prime Factorization. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Example:

Example 1 – Simplify: Example 1

Step 1: Find the prime factorization of the number inside the radical.  

252=2*2*3*3*7

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

√252= √2*2*3*3*7

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

2*3√7

Step 4: Simplify the expressions both inside and outside the radical by multiplying.  

6√7

Pls Mark Brainliest

Answer 2
Step 1: Find the prime factorization of the number inside the radical.
Step 1
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 2
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 3
Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Related Questions

imagine that you are plotting points on a coordinate plane. each axes is labeled with integers from -5 to 5. explain how you would plot a point at the location (-2 1/2, -4)
write three or four sentences

Answers

Answer:you would go -2.5 to the left the down -4

Step-by-step explanation: hope it helps

Answer:

Start at the origin. The x-coordinate is −2½ , so move left 2½ units. −2½ is halfway between −3 and −2. The y-coordinate is −4, so move down 4 units. Plot the point.

Step-by-step explanation:

hope this helps:)

PLEASE ANSWER PLEASE DONT SPAM ME TO GET PIONTS 16=4+3(t+2) thank you

Answers

Answer:

T = 2

Step-by-step explanation:

1. Distribute

2. Add the numbers

3. Order summands

4. Subtract 10 from both sides of the equation

5. Simplify

Answer:

t=2

Step-by-step explanation:

Simplify both sides of the equation.

16=4+3(t+2)

16=4+(3)(t)+(3)(2) (Distribute)

16=4+3t+6

16=(3t)+(4+6)(Combine Like Terms)

16=3t+10

16=3t+10

Step 2: Flip the equation.

3t+10=16

Step 3: Subtract 10 from both sides.

3t+10−10=16−10

3t=6

Step 4: Divide both sides by 3.

3/2= 6/3= t=2

help!! please!! thankss

Answers

Answer:

6

pls mark brainlest

Step-by-step explanation:

B^6 I hope I helped

Will give brainliest for the best answer

Explain how you would graph the line y= 2/3x + 3 using its slope and y-intercept.

Answers

Answer:

Step-by-step explanation:

The equation of a line in

slope-intercept form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

y

=

m

x

+

b

2

2

−−−−−−−−−−−−−−−

where m represents the slope and b, the y-intercept.

y

=

2

3

x

is in this form as

y

=

2

3

x

+

0

slope

=

m

=

2

3

and y-intercept

=

b

=

0

graph{2/3x [-10, 10, -5, 5]}

Answer: graph (0,3) and then from that point go up 2 and to the right 3, so graph (3,5)

Step-by-step explanation: if this isn’t how u need it explained tell me, i’ll put it into a more in depth form

Pls exsplain how you got the answer :P

Answers

Answer:

520 miles

Step-by-step explanation:

You take distance divided by time so 260/4  = 65(mph) so 65(mph) multiplied by 8 hours which is 520 miles

Hope that helps

Answer:

520 miles

Step-by-step explanation:

You take distance divided by time so 260/4  = 65(mph) so 65(mph) multiplied by 8 hours which is 520 miles

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge? (With explanation)

Answers

Answer: first figure out what 162 is in feet then check if is more then 12.5 if it is the truck can not pass through there if is 12.5 or less the truck can pass through there safely

Step-by-step explanation:

Answer:b

Step-by-step explanation: 12x12+5=149

162 is larger than 149 by 13 inches

Charles writes the number 83,334 .The value of the digit 3 in the thousandths place is 10 times the value of the digit 3 in what place value

Answers

Answer:

Hundredths

Step-by-step explanation:

The Hundredths place

Translate the algebraic expression 4(9j+1+6j) into a verbal expression.

Answers

4 multiplied by 9j plus 1 plus 6j

Answer:

what he said

Step-by-step explanation:

Help me pls let me know if my answer is right or not if not pls let me know the correct answer. ASAP

Answers

Answer:

7.5

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2([tex]\pi \\[/tex])r

r = 5 therefore: 2([tex]\pi \\[/tex])5 = 10[tex]\pi \\[/tex]

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

Which gives us 7.5[tex]\pi \\[/tex], or 23.55

The correct answer is 7.5

The questions are on the pictures ( I’m sorry there are so much pictures I couldn’t make the page smaller) :(

Answers

Answer:

9. A

10. D

11. True

Step-by-step explanation:

I might be incorrect sorry :(

Answer:

i think the person that answered first is correct

Step-by-step explanation:

Kevin is making hamburger patties for a family reunion. If he has 14_1/2 pounds of hamburger meat, how many 1/4-pound hamburger patties can he make?

14 1/2 hamburger patties
116 hamburger patties
18 1/2 hamburger patties
58 hamburger patties

Answers

58 hamburger patties

Step-by-step explanation:

You can divide 14 by 0.25 which equals 56 and then the rest of it will equal 2 so all together it will make 58

Answer: The answer is 18 1/2 hamburger patties.

Step-by-step explanation:

Please help! I linked it to this question

Answers

Answer:

The answer is 8 bags of popcorn and then $52.5

Step-by-step explanation:

The answer will be 8 bags of popcorn and the total for the right side would be $52.50.

In order to do this, you need to find the unit rate. In order to find the unit rate, divide 11.25 and 3. The answer should be 3.75. Using this number, divide 30 by 3.75 to get 8. 8 will be the number of popcorn bags sold. Then all you have to do is multiple 14 by 3.75 to get $52.50.

Hope this helps!

please i rlly need halp

Answers

Answer:

They are not in proportional relationship, I believe.

Step-by-step explanation:

Also, omg! Love your avatar! I loooove k-12/Melanie Martinez. My favorite song by her is cake or class fight. what about yours?

A quarterback in the National Football League throws 54 touchdown passes in 18 games. What is the average number of touchdown passes that the quarterback throws per game?

Answers

Answer:3

Step-by-step explanation:54/18=3

Uhh- i need some help with this-

Answers

It is 36*4= 144  That is the answer for both corecction 214

ANSWER FOR A=72

Step by step for A: 24 + (12)(4) = 24 + 48 =72

ANSWER FOR B= 72x + 22

Step by step for B= 24 + 72x - 2   (72x) + (24 + - 2) = 72x + 22

B) 192.75
Place Value Chart with Decimals

ten thousand


thousands



hundreds


tens


ones


tenths


hundredths


thousandths






Expanded Notation:


Word Form:

Answers

Answer:

192.75 is 1 one hundred - 9 tens - 2 ones - 7 tenths and 5 hundredths. if that's the answer you need

B) 192.75
Place Value Chart with Decimals

ten thousand: 0
thousands:0
hundreds:1
tens: 9
ones: 2
tenths: 7
hundredths:5
thousandths:0

Expanded Notation: 100+90+02+.70+.05

Word Form: One hundred, Ninety Two (point or and) seventy five tenths

What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.

1. How many repeating digits does the number represented by n have?


Write your answer in the space below.















2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.


Write your answer in the space below.















3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.


Write your answer in the space below.















4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.


Write your answer in the space below.















5. Write n as a fraction in simplest form. Show your work.


Write your answer in the space below.

Answers

Answer:

it has two repeating digits

Step-by-step explanation:

since one and five are reapeeting twice there are two repeating digits easy and smple

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.

No money was deposited into or withdrawn from the account.

How much money was in the account after ​3​ years?

Round your answer to the nearest cent.

Answers

Answer:

$329.93

Step-by-step explanation:

1.5% of $315 is 5.25 315 + 5.25 = 320.25 + 4.80(rounded) = $325.05 +  4.88(again, rounded) = $329.93, there it is the answer

if i helped, please mark me as brainliest

329.93 would be the correct answer

Examine the graph. A bar graph titled Population of North American Cities. The x-axis is labeled cities. The y-axis is labeled Population in Millions from 0 to 10. New York is above 8 million. Los Angeles is below 4 million. Mexico City 9 million. Guadalajara is under 2 million. Vancouver and Washington are under 1 million. Which conclusion can be drawn from the graph data? Mexican cities have larger populations than US cities. The third most-populous city shown on the graph is in Mexico. The top three most-populous cities shown on the graph are US cities. The population of New York City is more than double the population of Los Angeles.

Answers

Answer and Step-by-step explanation:

✓ Answer:The population of New York City is more than double the population of Los Angeles.(by process of elimination)

Divide and simplify

Answers

Tbh you could of just used Photomath

its b I am sure about it B. yes I'm sure

6.4 x 10 to the power of 17

Answers

64

Hope this helps youuuu

6.4 x 10 = 64, however, that is not the answer.

64^17 would be 64 multiplied upon itself 17 times.

The answer you should submit should be 64^17 since the number it creates is too big to calculate

Which pair of numbers is relatively prime?
A. 7 and 21
B. 4 and 15
C. 6 and 9
D. 9 and 27

Answers

B I’m pretty sure sorry if wrong
A is the correct answer

Refer to the above model. What processes are occurring along arrows D and E to turn both sedimentary rocks and igneous rocks into metamorphic rocks?

A. melting and cooling

B. erosion and deposition

C. high temperatures and cementation

D. extreme heat and pressure

Answers

D - extreme heat and pressure

In order for a rock to be transformed and metamorphic, it has to experience extreme heat and pressure, which is what is being shown in the diagram.

Someone help me with these math questions ASAP

Answers

Answer:

54, 68, 1.24, 60, 30

Step-by-step explanation:

162/3 is 54

272/4 is 68

50/40 is 1.24

40/8 is 5 then 5 x 12 = 60

42/7 is 6 then 6 x 5 = 30

What are the domain and range for the representative exponential function in the graph below?
A)Domain: y > 0
Range: x ∈ R
B)Domain: x ∈ R
Range: y > 0
C)Domain: x ∈ R
Range: y ≥ 0
B)Domain: y ≥ 0
Range: x ∈ R

Answers

Answer:

C?

Step-by-step explanation:

Solve the equation by backtracking.

Answers

Multiply both sides by 10 to get x+3=70. Then subtract 3 from both sides to get x=67
Ok so first u can Multiply both sides by 10 to get x+3=70 and then after that you can subtract 3 from both sides to get x=67 and there you

Help please asap!!!!!!1

Answers

I don’t see any thang

Plz help
Hayden accidentally overdrafted his bank account, so there was a negative balance of −$13.55 in the account. He then deposited $20.00 to cover the overdraft.
Write an addition equation that represents the amount of money in his account.
Enter your answer as an addition equation, formatted like this: 42+(-53)=-11
Do not enter the $ symbol. Do not enter any units.

Answers

Answer:

20.00-(13.55)= 6.45 in his bank account

Step-by-step explanation:

An addition equation is 20.00 + (-13.55) = 6.45 that represents the amount of money in his account.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition,  subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

Given that

There was a negative balance of −$13.55 in the account.

And Hayden made a deposit of $20 in order to pay the overdraft.

Determine an addition equation that represents the amount of money in his account.

According to the question, an addition equation that represents as

⇒ 20.00 + (-13.55) = 6.45

Hence, an addition equation is 20.00 + (-13.55) = 6.45 that represents the amount of money in his account.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Pls help I have a lot to do and it’s all due today

Answers

Answer:

C = 9

Step-by-step explanation:

:>

Answer: 45

Step-by-step explanation:

I bet you $13456324567 dollars you didn't read that number. You just skipped right over it. You didn't realize I put a letter in it. No I didn't but you went back and looked.

Answers

Answer:

i did both

Step-by-step explanation:

I did too lol I read everything and I went bk
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