Write the Lowest Rationalising Factor of : √18 - √50

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

Sum

√18 - √50
√18 - √50 = `sqrt( 2 xx 3 xx 3 ) - sqrt( 5 xx 5 xx 2 )`
= 3√2 - 5√2 = -2√2
∴ lowest rationalizing factor is √2

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Rationalisation of Surds

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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 2.5 | Page 21

Rationalize the denominator.

`6/(9sqrt 3)`

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

`sqrt 27`

Write the lowest rationalising factor of 5√2.

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of : √13 + 3

Write the lowest rationalising factor of 15 – 3√2.

Find the values of 'a' and 'b' in each of the following :
`[2 + sqrt3]/[ 2 - sqrt3 ] = a + bsqrt3`

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

If x = 1 - √2, find the value of `( x - 1/x )^3`

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