English Medium कक्षा ९ - CBSE Question Bank Solutions

If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].

\[\sqrt{10} \times \sqrt{15}\] is equal to

\[\sqrt[5]{6} \times \sqrt[5]{6}\] is equal to

The rationalisation factor of \[\sqrt{3}\] is 

The rationalisation factor of \[2 + \sqrt{3}\] is 

If x = \[\sqrt{5} + 2\],then \[x - \frac{1}{x}\] equals

If \[\frac{\sqrt{3 - 1}}{\sqrt{3} + 1}\] =\[a - b\sqrt{3}\] then

Classify the following number as rational or irrational:

`(3 + sqrt23) - sqrt23`

Classify the following number as rational or irrational:

`(2sqrt7)/(7sqrt7)`

Classify the following number as rational or irrational:

`1/sqrt2`

Classify the following number as rational or irrational:

2π

Simplify the following expression:

`(3+sqrt3)(3-sqrt3)`

Simplify the following expression:

`(sqrt5+sqrt2)^2`

Simplify the following expression:

`(sqrt5-sqrt2)(sqrt5+sqrt2)`

Rationalise the denominator of the following:

`1/(sqrt7-2)`

Verify whether the indicated numbers is zeros of the polynomials corresponding to them in the following case:

\[p(x) = x^3 - 6 x^2 + 11x - 6, x = 1, 2, 3\]

Rationalise the denominator of the following:

`1/(sqrt7-sqrt6)`

Rationalise the denominator of the following:

`1/(sqrt5+sqrt2)`

If x = 0 and x = −1 are the roots of the polynomial f(x) =2x³ − 3x² + ax + b, find the value of a and b.