Question

How do you simplify a radical?

Answer 1

Answer:

$\huge\boxed{\texttt{See Explanation}}$

Step-by-step explanation:

In order to simplify a radical, we're looking for a perfect square within that number.

Say we have $\sqrt{108}$.

We're looking for two numbers, where

1. We can easily find the square root of the first number

2. When we multiply that number by the second, we get 108.

We can experiment with numbers for 108. We know that $36 \cdot 3 = 108$, so we can form this statement now.

$\sqrt{108} = \sqrt{36 \cdot 3}$

We know the square root of 36 is 6. Therefore, we can put this outside the square root sign and leave 3 inside.

$\sqrt{36} = 6\\6\sqrt{3}$

Hope this helped!