If X = 2√3 + 2√2 , Find : ( X + 1/X)^2 - Mathematics

If x = 2√3 + 2√2 , find : `( x + 1/x)^2`

Sum

`( x + 1/x)^2 = [ 5sqrt3 + 3sqrt2/2]^2`

= `( 75 + 18 + 30sqrt6)/4`

= `( 93 + 30sqrt6)/4`

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Rationalisation of Surds

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Chapter 1: Rational and Irrational Numbers - Exercise 1 (C) [Page 22]

Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 8.3 | Page 22

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

`sqrt 27`

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