English Medium Class 9 - CBSE Question Bank Solutions

If both x − 2 and \[x - \frac{1}{2}\] are factors of px² + 5x + r, then

If x² − 1 is a factor of ax⁴ + bx³ + cx² + dx + e, then

Prove that in a quadrilateral the sum of all the sides is greater than the sum of its diagonals.

The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is ______.

`1/(sqrt(9) - sqrt(8))` is equal to ______.

After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.

The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.

`root(4)root(3)(2^2)` equals to ______.

Value of `root(4)((81)^-2)` is ______.

Value of (256)^0.16 × (256)^0.09 is ______.

Simplify the following: 

`sqrt(45) - 3sqrt(20) + 4sqrt(5)`

Simplify the following: 

`sqrt(24)/8 + sqrt(54)/9`

Simplify the following: 

`4sqrt12 xx 7sqrt6`

Simplify the following:

`4sqrt(28) ÷ 3sqrt(7) ÷ root(3)(7)`

Simplify the following:

`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`

Simplify the following: 

`(sqrt(3) - sqrt(2))^2`

Simplify the following: 

`root(4)(81) - 8root(3)(216) + 15root(5)(32) + sqrt(225)`

Simplify the following:

`3/sqrt(8) + 1/sqrt(2)`

Simplify the following:

`(2sqrt(3))/3 - sqrt(3)/6`

Rationalise the denominator of the following:

`2/(3sqrt(3)`