English
Maharashtra State BoardSSC (English Medium) 9th Standard

Rationalize the Denominator. 2/(3 sqrt 7)

Advertisements
Advertisements

Question

Rationalize the denominator.

`2/(3 sqrt 7)`

Sum
Advertisements

Solution

`2/(3 sqrt 7)`

`= 2/(3 sqrt 7) xx sqrt 7/sqrt7`   ...[multiply numerator and denominator by `sqrt7`]

`= (2sqrt7)/(3 xx 7)`

`= (2sqrt 7)/21`

shaalaa.com
Simplifying an Expression by Rationalization of the Denominator
  Is there an error in this question or solution?
Chapter 2: Real Numbers - Problem Set 2 [Page 35]

APPEARS IN

Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 2 Real Numbers
Problem Set 2 | Q (8) (ii) | Page 35

RELATED QUESTIONS

Rationalize the denominator.

`4/(7+ 4 sqrt3)`


Rationalize the denominator.

`(sqrt 5 - sqrt 3)/(sqrt 5 + sqrt 3)`


Simplify :
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`


Simplify by rationalising the denominator in the following.

`(1)/(sqrt(3) + sqrt(2))`


Simplify by rationalising the denominator in the following.

`(42)/(2sqrt(3) + 3sqrt(2)`


Simplify by rationalising the denominator in the following.

`(sqrt(5) - sqrt(7))/sqrt(3)`


Simplify by rationalising the denominator in the following.

`(4 + sqrt(8))/(4 - sqrt(8)`


Simplify by rationalising the denominator in the following.

`(2sqrt(3) - sqrt(6))/(2sqrt(3) + sqrt(6)`


Simplify by rationalising the denominator in the following.

`(7sqrt(3) -  5sqrt(2))/(sqrt(48) + sqrt(18)`


Simplify the following

`(sqrt(5) - 2)/(sqrt(5) + 2) - (sqrt(5) + 2)/(sqrt(5) - 2)`


Simplify the following

`(sqrt(7) - sqrt(3))/(sqrt(7) + sqrt(3)) - (sqrt(7) + sqrt(3))/(sqrt(7) - sqrt(3)`


Simplify the following :

`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`


Simplify the following :

`(3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) + (2sqrt(3))/(sqrt(6) + 2)`


Simplify the following :

`(6)/(2sqrt(3) - sqrt(6)) + sqrt(6)/(sqrt(3) + sqrt(2)) - (4sqrt(3))/(sqrt(6) - sqrt(2)`


If `(sqrt(2.5) - sqrt(0.75))/(sqrt(2.5) + sqrt(0.75)) = "p" + "q"sqrt(30)`, find the values of p and q.


In the following, find the values of a and b:

`(3 + sqrt(7))/(3 - sqrt(7)) = "a" + "b"sqrt(7)`


If x = `(1)/((3 - 2sqrt(2))` and y = `(1)/((3 + 2sqrt(2))`, find the values of

x2 + y2


Show that: `x^2 + 1/x^2 = 34,` if x = 3 + `2sqrt2`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×