Rationalise the denominator 356

Rationalise the denominator `(3sqrt(5))/sqrt(6)`

Sum

`(3sqrt(5))/sqrt(6) = (3sqrt(5))/sqrt(6) xx sqrt(6)/sqrt(6)`

= `(3sqrt(30))/6`

= `sqrt(30)/2`

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Rationalisation of Surds

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Chapter 2: Real Numbers - Exercise 2.7 [Page 70]

Chapter 2 Real Numbers
Exercise 2.7 | Q 1. (iv) | Page 70

Rationalize the denominator.

`3 /sqrt5`

Rationalize the denominator.

`1/sqrt14`

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

`sqrt 32`

Write the lowest rationalising factor of : √24

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : y²

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

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m²

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

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

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