Question

Simply Square Roots of 45

`√(45)`
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Answer 1

`3√(5)`

Explanation:

Find the largest factor of 45 that is a perfect square.

The factors of 45 are 1, 3, 5, 9, 15, 45.

The largest perfect square is 9.

Now breakup 45 into a product which has 9 as a factor.

45 = 9 * 5

`√(45) = √(9 * 5) = √(9) * √(5) = 3√(5)`