Write the Lowest Rationalising Factor of : 7 - √7 - Mathematics

Write the lowest rationalising factor of : 7 - √7

Sum

7 - √7
( 7 - √7 )( 7 + √7 ) = 49 - 7 = 42
Therefore, lowest rationalizing factor is ( 7 + √7 ).

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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 2.4 | Page 21

Rationalize the denominator.

`3 /sqrt5`

Rationalize the denominator.

`11 / sqrt 3`

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

`sqrt 50`

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

`3 sqrt 72`

Write the lowest rationalising factor of : √24

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

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`3/[ sqrt3 - sqrt2 ] = asqrt3 - bsqrt2`

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`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`

If x = `2sqrt3 + 2sqrt2`, find: `1/x`

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