Question

question
go step by step to reduce the radical.
$\frac{sqrt{72}}{sqrt{36} cdot sqrt{2}}$
$squaresqrt{2}$
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Factor 72 into perfect square

$\sqrt{72} = \sqrt{36 \times 2}$

Step2: Split radical using product rule

$\sqrt{36 \times 2} = \sqrt{36} \cdot \sqrt{2}$

Step3: Simplify $\sqrt{36}$

$\sqrt{36} = 6$, so $\sqrt{72} = 6\sqrt{2}$

Answer:

6