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

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

बेरीज

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

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

= `( 93 + 30sqrt6)/4`

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Rationalisation of Surds

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

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

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

Rationalize the denominator.

`1/sqrt14`

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x²

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

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

x² + y² + xy.

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

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

Rationalise the denominator and simplify `(5sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2))`

Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`

Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`

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