Question

go step by step to reduce the radical. $sqrt{180}$ $sqrt{square}$ $sqrt{square}$ try answer attempt 1 out of 10 you must answer all questions above in order to submit.

Explanation:

Step1: Factor out perfect square

Find the largest perfect square factor of 180. The largest perfect square that divides 180 is 36, since $36 \times 5 = 180$.
$\sqrt{180} = \sqrt{36 \times 5}$

Step2: Apply radical product rule

Use the property $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$ for non-negative $a,b$.
$\sqrt{36 \times 5} = \sqrt{36} \times \sqrt{5}$

Step3: Simplify perfect square radical

Calculate $\sqrt{36} = 6$.
$\sqrt{36} \times \sqrt{5} = 6\sqrt{5}$

Answer:

The blanks are filled with $\boldsymbol{36}$ and $\boldsymbol{5}$, and the simplified radical is $\boldsymbol{6\sqrt{5}}$.