English Medium कक्षा ९ - CBSE Question Bank Solutions

Write the value of \[\left( 2 + \sqrt{3} \right) \left( 2 - \sqrt{3} \right) .\]

Write the reciprocal of \[5 + \sqrt{2}\].

Write the rationalisation factor of \[7 - 3\sqrt{5}\].

If\[\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = x + y\sqrt{3},\]  find the values of x and y.

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

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

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

Write the rationalisation factor of \[\sqrt{5} - 2\].

Simplify \[\sqrt{3 + 2\sqrt{2}}\].

Simplify \[\sqrt{3 - 2\sqrt{2}}\].

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`