Simplify square root 18

3√2

Step-by-step explanation:

√18 = √9 x √2 = 3√2

Start by making a factor tree for 18.

18 factors as 6 x 3 and 6 factors as 2 x 3.

Look for pairs of factors that are the same.

In this case, the 3's match up.

So a 3 will come out of the radical.

Whatever does not pair up stays inside.

In this case, the 2 goes inside.

So our answer is 3√2.