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Rationalize the denominators of the fo...

Rationalize 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)`

Text Solution

Verified by Experts

i)`1/(√7)=1/(√7)**(√7)/(√7)`
=`sqrt(7)/sqrt(7times7)`
=`(√7)/7`

ii)`1/(√7-√6)=1/(√7-√6)**(√7+√6)/(√7+√6)`
=`(√7+√6)/(7-6)`
=`√7+√6`

(iii) `1/(√5+√2)=1/(√5+√2)**(√5-√2)/(√5-√2)`
=`(√5-√2)/(5-2)`
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