Rationalise the denominator 535

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

Sum

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

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

= `sqrt(5)/3`

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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. (ii) | Page 70

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

`sqrt 50`

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

`sqrt 27`

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 √5 - 3.

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

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

If x = 5 - 2√6, find `x^2 + 1/x^2`

Rationalise the denominator `1/sqrt(50)`

Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).