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

Rationalize the denominator.

`1/sqrt14`

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

`4 sqrt 11`

Write the lowest rationalising factor of √5 - 3.

Write the lowest rationalising factor of : √18 - √50

Write the lowest rationalising factor of 15 – 3√2.

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 : xy

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`

Find the value of a and b if `(sqrt(7) - 2)/(sqrt(7) + 2) = asqrt(7) + b`.