# How do you simplify 2pi times the square root of 4/32?

Apr 10, 2018

$\frac{\pi \sqrt{2}}{2}$

#### Explanation:

Assumption: You mean $2 \pi \times \sqrt{\frac{4}{32}}$

$2 \pi \times \frac{\sqrt{{2}^{2}}}{\sqrt{2 \times {4}^{2}}}$

$2 \pi \times \frac{2}{4 \sqrt{2}}$

$\frac{\pi}{\sqrt{2}}$

Not good practise to have a root in the denominator if you can do otherwise.

$\frac{\pi}{\sqrt{2}} \times 1 \textcolor{w h i t e}{\text{ddd")->color(white)("ddd")pi/sqrt2 xxsqrt2/sqrt2 color(white)("dddd")= color(white)("dddd}} \frac{\pi \sqrt{2}}{2}$