How do you simplify #25/sqrt15#?

1 Answer
Jun 3, 2016

Answer:

#5/3sqrt15#

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#