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

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

Rationalize the denominator.

`11 / sqrt 3`

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

`sqrt 27`

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

`4 sqrt 11`

Write the lowest rationalising factor of : 7 - √7

Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n²

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

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