Write the lowest rationalising factor of 5√2.

Sum

5√2 × 5√2 = 5 × 2 = 10 which is rational.

∴ lowest rationalizing factor is √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 2.1 | Page 21

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

`sqrt 32`

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

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x² + y² + xy.

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

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