QuestionSimplify the expression $\frac{\sqrt{72}}{\sqrt{2}}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{\sqrt{72}}{\sqrt{}}$ . We need to simplify this expression

STEP 2

We can simplify the expression by using the property of square roots that $\sqrt{a} / \sqrt{b} = \sqrt{a/b}$ .
$\frac{\sqrt{72}}{\sqrt{2}} = \sqrt{\frac{72}{2}}$

STEP 3

Now, simplify the fraction inside the square root.
$\sqrt{\frac{72}{2}} = \sqrt{36}$

STEP 4

Calculate the square root of36.
$\sqrt{36} =6$ So, $\frac{\sqrt{72}}{\sqrt{2}} =6$ .

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