Question

Rationalise the denominator: 1/[(8√11 ) - (7√5)]

Answer 1

Given: 1/[(8√11) - (7√5)]

It is known that the conjugate of (8√11) - (7√5) is (8√11) + (7√5)

To rationalize the denominator of the given fraction, multiply the conjugate of denominator on both numerator and denominator.

= [1/[(8√11) - (7√5)]] × [[(8√11) + (7√5)]/[(8√11) + (7√5)]]

= [(8√11) + (7√5)]/[(8√11)²- (7√5)²]

= [(8√11) + (7√5)]/[704- 245]

= [(8√11) + (7√5)]/459