Rationalise the denominator in each of the following: (i)`2/(sqrt(7))` (ii) `2/(3sqrt(3))` (iii) `(2sqrt(7))/(sqrt(11))`

Explanation

(i) Given :
`2/(sqrt(7))`
Multiplying the numerator and denominator of the given number by `sqrt7`
i.e,
`2/(sqrt(7))=2/(sqrt(7))xxsqrt7/sqrt7`
`=(2sqrt7)/7`
(ii) Given :
`2/(3sqrt(3))`
Multiplying the numerator and denominator of the given number by `sqrt3`
i.e,
`2/(3sqrt(3))=2/(3sqrt(3))xxsqrt3/sqrt3`
`=(2sqrt3)/9`
(iii) Given :
`(2sqrt7)/(sqrt(11))`
Multiplying the numerator and denominator of the given number by `sqrt11`
i.e,
`(2sqrt7)/(sqrt(11))=(2sqrt7)/(sqrt(11))xxsqrt11/sqrt11`
`=(2sqrt77)/11`