Home
Class 9
MATHS
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)`

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)`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Rationalise the denominator of each of the following (i) 1/(sqrt(12)) (ii) (sqrt(2))/(sqrt(5))

Rationalise the denominator of each of the following (i) 3/(sqrt(5)) (ii) 3/(2sqrt(5))

Rationalise the denominator of the following : (1)/(sqrt(3)-sqrt(2)-1 '

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

Rationalise the denominator of 1/(sqrt(2))

Rationalise the denominator of each the following (i)(2)/(sqrt(3))" "(ii)(1)/(3sqrt(5))" "(iii)(1)/(sqrt(8))" "(iv)(sqrt(2)+1)/(sqrt(3))

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

Rationalise the denominator of each of the following (i) (sqrt(3)+\ 1)/(sqrt(2)) (ii) (sqrt(2)+\ sqrt(5))/(sqrt(3)) (iii) (3sqrt(2))/(sqrt(5))

Rationalise the denominator of each the of the following : (i)(1)/(3+sqrt(5))" "(ii)(1)/(sqrt(5)-sqrt(3))" "(iii)(16)/(sqrt(41)+5)" "(iv)(30)/(5sqrt(3)+3sqrt(5))" "(v)(3-2sqrt(2))/(3+2sqrt(2))

Rationalise the denominator of 1/(3+sqrt(2))