Rationalise the Denominators of : 1/(Sqrt3 - Sqrt2 ) - Mathematics

Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`

Sum

`1/(sqrt3 - sqrt2 ) xx ((sqrt3 + sqrt2)/(sqrt3 + sqrt2)) = sqrt( 3 + sqrt2)/[(sqrt3)^2- (sqrt2)^2] = [sqrt3 + sqrt2]/[ 3 - 2 ]`

= `sqrt3 + sqrt2`

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Simplifying an Expression by Rationalization of the Denominator

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Chapter 1: Rational and Irrational Numbers - Exercise 1 (C) [Page 21]

Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 3.3 | Page 21

Rationalise the denominators of : `(2sqrt3)/sqrt5`

Rationalise the denominators of : `[ 2 - √3 ]/[ 2 + √3 ]`

Rationalise the denominators of : `[ 2√5 + 3√2 ]/[ 2√5 - 3√2 ]`

Simplify by rationalising the denominator in the following.

`(3sqrt(2))/sqrt(5)`

Simplify by rationalising the denominator in the following.

`(2)/(3 + sqrt(7)`

Simplify by rationalising the denominator in the following.

`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)`

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If x = `(4 - sqrt(15))`, find the values of

`x + (1)/x`

Show that Negative of an irrational number is irrational.

Show that: `(3sqrt2 - 2sqrt3)/(3sqrt2 + 2sqrt3) + (2 sqrt3)/(sqrt3 - sqrt2) = 11`