Rationalise the denominator 7518 - Mathematics

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

Sum

`sqrt(75)/sqrt(18) = sqrt(3 xx 25)/sqrt(2 xx 9)`

= `(5sqrt(3))/(3sqrt(2))`

= `(5sqrt(3))/(3sqrt(2)) xx sqrt(2)/sqrt(2)`

= `(5sqrt(6))/(3 xx 2)`

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

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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. (iii) | Page 70

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

`sqrt 50`

Write the lowest rationalising factor of 5√2.

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:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`

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

x² + y² + xy.

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If x = `2sqrt3 + 2sqrt2`, find: `1/x`

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