which expression is equivalent to the ghen expression?

Answer:

3√5

Step-by-step explanation:

Square root of 45

Square Root of 45: √45 = 6.708

We can find the square root of 45 using the following steps:

Step 1: Check whether the number is a perfect square or not. In this case, 45 is not a perfect square as it cannot be broken down into a product of two same numbers.

Step 2: Once the number is checked, the following process needs to be followed:

If the number is a perfect square, it can be written in this format √x2 = x

If it is not a perfect square, the square root is found using the long division method. It can also be written in its simplified radical form.

Since 45 is not a perfect square, we find its square root using the long division method. The simplified radical form of the square root of 45 is given below.

Simplified radical form of the square root of 45-

45 can be written as a product 9 and 5. Hence, square root of 45 can be expressed as, √45 = √(9 × 5) =  3√5. 45 is not a perfect square, hence, it remains within roots. The simplified radical form of the square root of 45 is 3√5.

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Answer:

  C.  3√5

Step-by-step explanation:

Your calculator can help you choose the correct answer.

  [tex]\sqrt{45}=\sqrt{9\cdot5}=\sqrt{9}\cdot\sqrt{5}=\boxed{3\sqrt{5}}[/tex]

_____

Compare the decimal values using your calculator:

  √45 ≈ 6.7

  5√3 ≈ 8.7

  9√5 ≈ 20.1

  3√5 ≈ 6.7

  5√9 = 15

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