How do you simplify 25/sqrt15?

1 Answer
Jim G.
Jun 3, 2016

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

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