Solution:
Given the expression;
[tex]\sqrt[]{180}[/tex]
Step 1: Get a multiple of 180 such that one of the multiple is a perfect square;
[tex]\sqrt[]{180}=\sqrt[]{36\times5}[/tex]
Step 2: Separate the radicals;
[tex]\begin{gathered} \sqrt[]{180}=\sqrt[]{36}\times\sqrt[]{5} \\ \sqrt[]{180}=6\times\sqrt[]{5} \end{gathered}[/tex]
Step 3: Multiply the constant by the radical;
[tex]\sqrt[]{180}=6\sqrt[]{5}[/tex]
FINAL ANSWER:
[tex]6\sqrt[]{5}[/tex]
