How do you simplify sqrt(12w) + sqrt(27w)?

May 18, 2015

By decoupling the factors you have in the sum:

$\sqrt{2 \cdot 2 \cdot 3 \cdot w} + \sqrt{3 \cdot 3 \cdot 3 \cdot w}$

We can remove squared numbers from inside the square root.

$2 \sqrt{3 w} + 3 \sqrt{3 w}$

$\sqrt{3 w} \left(2 + 3\right)$