(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`

Rationalise the denominators of : `[ 2 - √3 ]/[ 2 + √3 ]`

Rationalise the denominators of : `3/[ sqrt5 + sqrt2 ]`

Rationalise the denominators of : `[ √3 + 1 ]/[ √3 - 1 ]`

Rationalise the denominators of : `[ sqrt3 - sqrt2 ]/[ sqrt3 + sqrt2 ]`

Rationalise the denominators of:

`[sqrt6 - sqrt5]/[sqrt6 + sqrt5]`

Rationalise the denominators of : `[ 2√5 + 3√2 ]/[ 2√5 - 3√2 ]`

Simplify :
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`

Simplify:

`sqrt2/[sqrt6 - sqrt2] - sqrt3/[sqrt6 + sqrt2]`

Rationalise the denominator of `1/[ √3 - √2 + 1]`

If `sqrt2` = 1.4 and `sqrt3` = 1.7, find the value of `(2 - sqrt3)/(sqrt3).`

Simplify : `sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`

In the following figure, ABCD is a rhombus and DCFE is a square.

If ∠ABC =56°, find:
(i) ∠DAE
(ii) ∠FEA
(iii) ∠EAC
(iv) ∠AEC

Simplify by rationalising the denominator in the following.

`(3sqrt(2))/sqrt(5)`

Simplify by rationalising the denominator in the following.

`(1)/(5 + sqrt(2))`

Simplify by rationalising the denominator in the following.

`(1)/(sqrt(3) + sqrt(2))`

Simplify by rationalising the denominator in the following.

`(2)/(3 + sqrt(7)`

Simplify by rationalising the denominator in the following.

`(5)/(sqrt(7) - sqrt(2))`

Simplify by rationalising the denominator in the following.

`(42)/(2sqrt(3) + 3sqrt(2)`

Simplify by rationalising the denominator in the following.

`(sqrt(3) + 1)/(sqrt(3) - 1)`