Rationalize the denominator. 35 - Algebra

Rationalize the denominator.

`3 /sqrt5`

Sum

`3 /sqrt5`

`= 3 /sqrt5 xx sqrt 5 / sqrt 5`

`= (3sqrt5)/ (sqrt 5)^2`

`= (3sqrt 5)/5`

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) (i) | Page 30

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

`sqrt 27`

Write the lowest rationalising factor of 5√2.

Write the lowest rationalising factor of √5 - 3.

Write the lowest rationalising factor of : √18 - √50

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

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : y²

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

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

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

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