Rationalize the denominator. 113 - Algebra

Rationalize the denominator.

`11 / sqrt 3`

Sum

`11 / sqrt 3`

`=11 / sqrt 3 xx sqrt 3/ sqrt 3`

`= (11 sqrt 3)/(sqrt 3)^2`

`= (11 sqrt3)/ 3`

shaalaa.com

Rationalisation of Surds

Is there an error in this question or solution?

Chapter 2: Real Numbers - Practice Set 2.3 [Page 30]

Chapter 2 Real Numbers
Practice Set 2.3 | Q (9) (v) | Page 30

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.

`3 sqrt 72`

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

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 n²

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

If x = 5 - 2√6, find `x^2 + 1/x^2`

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

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