Rationalise the denominator 150 - Mathematics

Rationalise the denominator `1/sqrt(50)`

Sum

`1/sqrt(50) = 1/(sqrt(25 xx 2)`

= `1/(5sqrt(2))`

= `1/(5sqrt(2)) xx sqrt(2)/sqrt(2)`

= `sqrt(2)/(5 xx 2)`

= `sqrt(2)/10`

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. (i) | Page 70

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

`sqrt 32`

Find the values of 'a' and 'b' in each of the following:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`

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

Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`

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

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

Rationalise the denominator `sqrt(75)/sqrt(18)`

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

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

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