हिंदी

Rationalize the denominator. 1/(sqrt 3 - sqrt 2)

Advertisements
Advertisements

प्रश्न

Rationalize the denominator.

`1/(sqrt 3 - sqrt 2)`

योग
Advertisements

उत्तर

`1/(sqrt 3 - sqrt 2)`

`= 1/(sqrt 3 - sqrt 2) xx ((sqrt3+ sqrt 2))/((sqrt3+ sqrt2))`

`= ((sqrt 3 + sqrt 2))/((sqrt 3)^2 - (sqrt 2)^2)      ...[(a+b)(a-b) = a^2 - b^2]`

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

`= sqrt 3 + sqrt 2`

shaalaa.com
Simplifying an Expression by Rationalization of the Denominator
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Real Numbers - Problem Set 2 [पृष्ठ ३५]

APPEARS IN

बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 2 Real Numbers
Problem Set 2 | Q (8) (iii) | पृष्ठ ३५

संबंधित प्रश्न

Rationalize the denominator.

`1/(sqrt 7 + sqrt 2)` 


Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`


Rationalise the denominators of : `[ 2 - √3 ]/[ 2 + √3 ]`


Rationalise the denominators of : `[ √3 + 1 ]/[ √3 - 1 ]`


Rationalise the denominators of:

`[sqrt6 - sqrt5]/[sqrt6 + sqrt5]`


Rationalise the denominators of : `[ 2√5 + 3√2 ]/[ 2√5 - 3√2 ]`


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


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

`(sqrt(12) + sqrt(18))/(sqrt(75) - sqrt(50)`


Simplify the following

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


Simplify the following :

`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2)`


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

`(sqrt(3) - 2)/(sqrt(3) + 2) = "a"sqrt(3) + "b"`


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

`(sqrt(3) - 1)/(sqrt(3) + 1) + (sqrt(3) + 1)/(sqrt(3) - 1) = "a" + "b"sqrt(3)`


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

x3 + y3


Simplify:

`(sqrt(x^2 + y^2) - y)/(x - sqrt(x^2 - y^2)) ÷ (sqrt(x^2 - y^2) + x)/(sqrt(x^2 + y^2) + y)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×