Rationalise the denominator 356 - Mathematics

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

Sum

`(3sqrt(5))/sqrt(6) = (3sqrt(5))/sqrt(6) xx sqrt(6)/sqrt(6)`

= `(3sqrt(30))/6`

= `sqrt(30)/2`

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Rationalisation of Surds

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Chapter 2: Real Numbers - Exercise 2.7 [Page 70]

Chapter 2 Real Numbers
Exercise 2.7 | Q 1. (iv) | Page 70

Rationalize the denominator.

`5/sqrt 7`

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 50`

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

`3/5 sqrt 10`

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 m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m²

If x = 2√3 + 2√2 , find : `(x + 1/x)`

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

Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`