# How do you simplify sqrt(2)/sqrt10?

Feb 6, 2016

sqrt5/5 (squareroot of five over five)

#### Explanation:

To remove the radical in the denominator, multiply both numerator and denominator by the value of the denominator.

= sqrt2/sqrt10 * sqrt10/sqrt10
= sqrt20 / sqrt100
= [sqrt4*5]/10
= [2sqrt5]/10
= 2/10 * sqrt5
= 1/5 * sqrt5
= sqrt5/5