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Rationalise the denominators of the fol...

Rationalise the denominators of the following:(i) `1/(sqrt(7))` (ii) `1/(sqrt(7)-sqrt(6))` (iii) `1/(sqrt(5)+sqrt(2))` (iv) `1/(sqrt(7)-2)`

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(a) `(1)/(sqrt(7))=(1)/(sqrt(7))xx(sqrt(7))/(sqrt(7))=(sqrt(7))/(7)`
(b) `(1)/(sqrt(7)-sqrt(6))=(1)/(sqrt(7)-sqrt(6))xx(sqrt(7)+sqrt(6))/(sqrt(7)+sqrt(6))=(sqrt(7)+sqrt(6))/((sqrt7)^(2)-(sqrt(6))^(2))=(sqrt(7)+sqrt(6))/(7-6)=sqrt(7)+sqrt(6)`
( c) `(1)/(sqrt(5)+sqrt(2))=(1)/(sqrt(5)+sqrt(2))xx(sqrt(5)-sqrt(2))/(sqrt(5)-sqrt(2))=(sqrt(5)-sqrt(2))/((sqrt(5))^(2)-(sqrt(2))^(2))=(sqrt(5)-sqrt(2))/(5-2)=(1)/(3)(sqrt(5)-sqrt(2))`
(d) `(1)/(sqrt(7-2))=(1)/(sqrt(7)-2)xx(sqrt(7)+2)/(sqrt(7)+2)=(sqrt(7)+2)/(7-4)=(1)/(3)(sqrt(7)+2)`
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