Home
Class 9
MATHS
Rationalise the denominator of 1/(2+sqrt...

Rationalise the denominator of `1/(2+sqrt(3))`

Text Solution

AI Generated Solution

To rationalize the denominator of the expression \( \frac{1}{2 + \sqrt{3}} \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the expression**: We have the expression \( \frac{1}{2 + \sqrt{3}} \). 2. **Multiply by the conjugate**: To rationalize the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of \( 2 + \sqrt{3} \) is \( 2 - \sqrt{3} \). Thus, we multiply: \[ ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Rationalise the denominator of 1/(5+2sqrt3)

Rationalise the denominator of (2)/(sqrt(3))

Rationalise the denominator of (2)/(sqrt(3))

Rationalise the denominator of (1)/(sqrt(2))

Rationalise the denominator of (1)/(3+sqrt(2))

Rationalise the denominator of (1)/(3+sqrt(2))

Rationalise the denominator of (1)/(7+4sqrt(3)) .

Rationalise the denominator of (1)/(sqrt(5)) .

Rationalise the denominator of (1)/(sqrt(3)+sqrt(5)+sqrt(7))

Rationalise the denominator of (2*3sqrt(3))/(3sqrt(25)) .