Write the lowest rationalising factor of 5√2.

Sum

5√2 × 5√2 = 5 × 2 = 10 which is rational.

∴ lowest rationalizing factor is √2.

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 2.1 | Page 21

Rationalize the denominator.

`3 /sqrt5`

Rationalize the denominator.

`5/sqrt 7`

Rationalize the denominator.

`6/(9sqrt 3)`

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

`sqrt 50`

Write the lowest rationalising factor of : √13 + 3

Find the values of 'a' and 'b' in each of the following:
`3/[ sqrt3 - sqrt2 ] = asqrt3 - bsqrt2`

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn

If x = 2√3 + 2√2, find: `(x + 1/x)`

Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`

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