Write the Lowest Rationalising Factor of : √18 - √50 - Mathematics

Write the lowest rationalising factor of : √18 - √50

Sum

√18 - √50
√18 - √50 = `sqrt( 2 xx 3 xx 3 ) - sqrt( 5 xx 5 xx 2 )`
= 3√2 - 5√2 = -2√2
∴ 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 2.5 | Page 21

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

`sqrt 50`

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

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x²

If x = `2sqrt3 + 2sqrt2`, find: `1/x`

If x = 5 - 2√6, find `x^2 + 1/x^2`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`

Rationalise the denominator `1/sqrt(50)`

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

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

If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`