# How do you simplify #25/sqrt15#?

##### 1 Answer

Jun 3, 2016

#### Explanation:

To simplify this fraction we have to

#color(blue)"rationalise the denominator"# That is make it a rational value.We make use of the following fact :

#sqrtaxxsqrta=a# hence :

#sqrt15xxsqrt15=15" a rational value"# Since this is a fraction, however, we must multiply both the numerator and denominator by the same value.

#rArr25/sqrt15=25/sqrt15xxsqrt15/sqrt15=(25sqrt15)/15=5/3sqrt15#