Rationalise the denominator 535 - Mathematics

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

Sum

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

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

= `sqrt(5)/3`

shaalaa.com

Rationalisation of Surds

Is there an error in this question or solution?

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

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

Rationalize the denominator.

`6/(9sqrt 3)`

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

`3/5 sqrt 10`

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

`3 sqrt 72`

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of : 7 - √7

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x²

If `[ 2 + sqrt5 ]/[ 2 - sqrt5] = x and [2 - sqrt5 ]/[ 2 + sqrt5] = y`; find the value of x² - y².

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`

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

If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`