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.

`3 /sqrt5`

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

`sqrt 27`

Write the lowest rationalising factor of : √13 + 3

Write the lowest rationalising factor of : 3√2 + 2√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 n²

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

Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`

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

Rationalise the denominator `sqrt(75)/sqrt(18)`