Write the Lowest Rationalising Factor of : √5 - √2 - Mathematics

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

Sum

√5 - √2
( √5 - √2 )( √5 + √2 ) = ( √5 )² - ( √2 )² = 3

Therefore lowest rationalizing factor is √5 + √2

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Rationalisation of Surds

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

Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 2.6 | Page 21

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

`3 sqrt 72`

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of : 15 - 3√2

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 : y²

If x = 2√3 + 2√2 , find : `(x + 1/x)`

If x = 2√3 + 2√2 , find : `( x + 1/x)^2`

If x = 5 - 2√6, find `x^2 + 1/x^2`

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))`