# How do you simplify sqrt(9ab^4)?

May 21, 2018

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

#### Explanation:

$\sqrt{9 a {b}^{4}}$

$= \sqrt{3 \cdot 3 \cdot a \cdot b \cdot b \cdot b \cdot b}$

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

$= 3 \cdot b \cdot b \sqrt{a}$

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

May 21, 2018

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

#### Explanation:

So let start by using the known factors we have.

$\sqrt{9 a {b}^{4}}$

So we can take out a 3 out because 9 is a perfect square which give us:

$3$ $\sqrt{a {b}^{4}}$

So we cannot take out a a because it not a perfect square, it only has one. But we can take out ${b}^{4}$ outside from the house which is ${b}^{2}$.

Our final answer is $3 {b}^{2}$ $\sqrt{a}$