Question

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

Explanation:

Step1: Factor out perfect square

Find the largest perfect square factor of 72, which is 36.
$72 = 36 \times 2$

Step2: Split radical using product rule

Apply $\sqrt{ab}=\sqrt{a}\sqrt{b}$ for $a=36, b=2$.
$\sqrt{72} = \sqrt{36 \times 2} = \sqrt{36}\sqrt{2}$

Step3: Simplify perfect square radical

Calculate $\sqrt{36}=6$.
$\sqrt{36}\sqrt{2}=6\sqrt{2}$

Answer:

$\sqrt{36}\sqrt{2}$ (which simplifies to $6\sqrt{2}$)