Question

question
go step by step to reduce the radical.
$sqrt{180}$
$sqrt{square} sqrt{square}$
try
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Factor 180 into perfect square

Find largest perfect square factor of 180: $180 = 36 \times 5$

Step2: Split radical using product rule

Apply $\sqrt{ab} = \sqrt{a}\sqrt{b}$:
$\sqrt{180} = \sqrt{36 \times 5} = \sqrt{36} \sqrt{5}$

Step3: Simplify perfect square radical

Calculate $\sqrt{36} = 6$, so:
$\sqrt{180} = 6\sqrt{5}$

Answer:

$\sqrt{180} = \sqrt{36} \sqrt{5}$; simplified form: $6\sqrt{5}$