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

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

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

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.

`11 / sqrt 3`

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

`sqrt 32`

Write the lowest rationalising factor of √5 - 3.

Write the lowest rationalising factor of : √5 - √2

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n²

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

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

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).