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

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

योग

`( 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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अध्याय 1: Rational and Irrational Numbers - Exercise 1 (C) [पृष्ठ २२]

अध्याय 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 8.3 | पृष्ठ २२

Rationalize the denominator.

`1/sqrt14`

Rationalize the denominator.

`5/sqrt 7`

Rationalize the denominator.

`11 / sqrt 3`

Write the lowest rationalising factor of √5 - 3.

Write the lowest rationalising factor of : √13 + 3

Find the values of 'a' and 'b' in each of the following:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`

Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`

Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`

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

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