Question

A) Rationalise the denominator of a,b,c

Answer 1

The above answer is correct

Answer 2

See below

Explanation:

a)

`(20)/( √(10) ) = (20 √(10) )/( √(10) * √(10) ) = (20 √(10) )/(10) = 2 √(10)`

b)

`( √(2) )/(2 √(5) - 1 ) \\ \\ = ( √(2) * (2 √(5) + 1 ))/((2 √(5) - 1)(2 √(5) + 1) ) \\ \\ = ( √(2) * 2 √(5) + √(2) * 1 )/((2 √(5) ) ^(2) - (1)^(2)) \\ \\ = ( 2 √(10) + √(2))/(20 - 1) \\ \\ = ( 2 √(10) + √(2))/(19) \\ \\ equating \: it \: with \: \\ ( a + √(b))/(c) \\ \\ a = 2 √(10) \\ \\ b = 2 \\ \\ c = 19`