English Medium Class 9 - CBSE Question Bank Solutions

Express the following with rational denominator:

`1/(2sqrt5 - sqrt3)`

Express the following with rational denominator:

`(sqrt3 + 1)/(2sqrt2 - sqrt3)`

Express the following with rational denominator:

`(6 - 4sqrt2)/(6 + 4sqrt2)`

Express the following with rational denominator:

`(3sqrt2 + 1)/(2sqrt5 - 3)`

Express each one of the following with rational denominator:

`(b^2)/(sqrt(a^2 + b^2) + a)`

Rationales the denominator and simplify:

`(3 - sqrt2)/(3 + sqrt2)`

Rationales the denominator and simplify:

`(5 + 2sqrt3)/(7 + 4sqrt3)`

Rationales the denominator and simplify:

`(1 + sqrt2)/(3 - 2sqrt2)`

Rationales the denominator and simplify:

`(2sqrt6 - sqrt5)/(3sqrt5 - 2sqrt6)`

Rationales the denominator and simplify:

`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`

Rationales the denominator and simplify:

`(2sqrt3 - sqrt5)/(2sqrt2 + 3sqrt3)`

Simplify:

`(5 + sqrt3)/(5 - sqrt3) + (5 - sqrt3)/(5 + sqrt3)`

Simplify

`1/(2 + sqrt3) + 2/(sqrt5 - sqrt3) + 1/(2 - sqrt5)`

Simplify:

`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`

In the following determine rational numbers a and b:

`(sqrt3 - 1)/(sqrt3 + 1) = a - bsqrt3`

In the following determine rational numbers a and b:

`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`

In the following determine rational numbers a and b:

`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`

In the following determine rational numbers a and b:

`(5 + 3sqrt3)/(7 + 4sqrt3) = a + bsqrt3`

In the following determine rational numbers a and b:

`(sqrt11 - sqrt7)/(sqrt11 + sqrt7) = a - bsqrt77`

In the following determine rational numbers a and b:

`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`