Question

May I please get help with this. For I am confused as I have tried multiple times but still could not get the correct answer for it

Answer 1

Given the expression;

`\sqrt[]{180}`

Step 1: Get a multiple of 180 such that one of the multiple is a perfect square;

`\sqrt[]{180}=\sqrt[]{36*5}`

Step 2: Separate the radicals;

`\begin{gathered} \sqrt[]{180}=\sqrt[]{36}*\sqrt[]{5} \\ \sqrt[]{180}=6*\sqrt[]{5} \end{gathered}`

Step 3: Multiply the constant by the radical;

`\sqrt[]{180}=6\sqrt[]{5}`

FINAL ANSWER:

`6\sqrt[]{5}`