# 5asqrt(ab)+2sqrt(a^3b) this is a addition problem with radicals ?

Mar 7, 2017

This can be simplified to $7 a \sqrt{a b}$.

#### Explanation:

We note that $\sqrt{a b}$ is in simplest form. However, $\sqrt{{a}^{3} b}$ isn't.

We have:

$\sqrt{{a}^{3} b} = \sqrt{{a}^{2} a b} = a \sqrt{a b}$

Recombine:

$5 a \sqrt{a b} + 2 a \sqrt{a b}$

$\left(5 a + 2 a\right) \sqrt{a b}$

$7 a \sqrt{a b}$

Hopefully this helps!