How do you evaluate sqrt(18) - 2sqrt(2)?

Nov 5, 2015

$3 \sqrt{3} - 2 \sqrt{2}$

Explanation:

18 has 2 and 9 as factors.

As we all know, 9 is a perfect square, which means that we can extract it from $\sqrt{18}$ and it will look like this $\sqrt{9} \cdot \sqrt{2}$.

Then, we'll simplify $\sqrt{9}$ by finding its square root, which is 3.

The simplified equation is now $3 \sqrt{3} - 2 \sqrt{2}$