How do you combine 3sqrt75+5sqrt100?

Oct 19, 2015

You first try to find squares under the radical sign.

Explanation:

$75 = 3 \cdot 25 = 3 \cdot {5}^{2}$
$100 = {10}^{2}$

So we can rewrite:

$= 3 \cdot \sqrt{{5}^{2}} \cdot \sqrt{3} + 5 \cdot \sqrt{{10}^{2}}$

$= 3 \cdot 5 \cdot \sqrt{3} + 5 \cdot 10$

$= 50 + 15 \sqrt{3}$