# How do find the quotient of (ab) / sqrtb?

Nov 5, 2015

$a \sqrt{b}$

#### Explanation:

It is convention in mathematics to try and avoid a root as the denominator if you can. To do this with your question I am going to multiply it by 1 but in the form of $\frac{\sqrt{b}}{\sqrt{b}}$

$\frac{a b}{\sqrt{b}} \times \frac{\sqrt{b}}{\sqrt{b}}$

$\frac{a \textcolor{red}{\cancel{b}} \sqrt{b}}{\textcolor{red}{\cancel{b}}} = a \sqrt{b}$