If m = and13-22andn=13+22, find mn

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

योग

mn = ( 3 + 2√2 )( 3 - 2√2 )

= (3)² - (2√2)²

= 9 - 8

= 1

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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 7.3 | पृष्ठ २२

Rationalize the denominator.

`1/sqrt14`

Rationalize the denominator.

`5/sqrt 7`

Write the lowest rationalising factor of : 7 - √7

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

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

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : y²

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

If x = 5 - 2√6, find `x^2 + 1/x^2`

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

Rationalise the denominator `(3sqrt(5))/sqrt(6)`