# What is the square root of 10 times the square root of 35?

Sep 17, 2015

$\sqrt{10} \times \sqrt{35} = 5 \sqrt{14}$

#### Explanation:

$\textcolor{red}{\sqrt{10} = \sqrt{2} \times \sqrt{5}}$

$\textcolor{b l u e}{\sqrt{35} = \sqrt{5} \times \sqrt{7}}$

$\sqrt{10} \times \sqrt{35}$

=color(red)((sqrt(2)xxsqrt(5)))xxcolor(blue)((sqrt(5)xxsqrt(7))

=(color(red)(sqrt(5))xxcolor(blue)(sqrt(5)))xx(color(red) (sqrt(2))xxcolor(blue)(sqrt(7)))

$= 5 \times \sqrt{14}$