Question

go step by step to reduce the radical.
\\(\sqrt{180}\\)
\\(\sqrt{36} \cdot \sqrt{5}\\)
\\(\square \sqrt{\square}\\)

Explanation:

Step1: Simplify √36

We know that \( \sqrt{36} = 6 \) because \( 6\times6 = 36 \).

Step2: Substitute back

We had \( \sqrt{36}\cdot\sqrt{5} \), and after simplifying \( \sqrt{36} \) to 6, we get \( 6\sqrt{5} \).

Answer:

The first box is \( 6 \) and the second box is \( 5 \), so the simplified radical is \( 6\sqrt{5} \).