Write the Lowest Rationalising Factor of : √13 + 3 - Mathematics

Write the lowest rationalising factor of : √13 + 3

Sum

( √13 + 3 )( √13 - 3 ) = ( √13 )² - 3² = 13 - 9 = 4

Its lowest rationalizing factor is √13 - 3.

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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 2.7 | Page 21

Rationalize the denominator.

`5/sqrt 7`

Rationalize the denominator.

`11 / sqrt 3`

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

`sqrt 32`

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

`sqrt 27`

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

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

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

Rationalise the denominator `1/sqrt(50)`

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