Find the Values of 'A' and 'B' in Each of the Following:

Find the values of 'a' and 'b' in each of the following:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`

Sum

`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`

`[( sqrt7 - 2 )^2]/[ (sqrt7)^2 - (2)^2] = asqrt7 + b`

`[ 7 + 4 - 4sqrt7 ]/[ 7 - 4 ] = asqrt7 + b`

`[ 11 - 4sqrt7 ]/[ 3 ] = asqrt7 + b`

`a = -4/3, b = 11/3`

shaalaa.com

Rationalisation of Surds

Is there an error in this question or solution?

Chapter 1: Rational and Irrational Numbers - Exercise 1 (C) [Page 21]

Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 4.2 | Page 21

Write the simplest form of rationalising factor for the given surd.

`sqrt 50`

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of : √5 - √2

Write the lowest rationalising factor of : √13 + 3

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : y²

If x = 2√3 + 2√2, find: `(x + 1/x)`

Rationalise the denominator `5/(3sqrt(5))`

Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`

Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`

Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`