Write the Lowest Rationalising Factor of : √13 + 3

Write the lowest rationalising factor of : √13 + 3

Sum

( √13 + 3 )( √13 - 3 ) = ( √13 )² - 3² = 13 - 9 = 4

Its lowest rationalizing factor is √13 - 3.

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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 2.7 | Page 21

Rationalize the denominator.

`1/sqrt14`

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

`sqrt 32`

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

`4 sqrt 11`

Write the lowest rationalising factor of 5√2.

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of √5 - 3.

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

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Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`

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