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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Rationalize the denominator. 1/sqrt5

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प्रश्न

Rationalize the denominator.

`1/sqrt5`

बेरीज
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उत्तर

`1/sqrt5 = 1/sqrt5 xx sqrt 5/ sqrt 5    ...["multiply numerator and denominator by" sqrt5]`

`= sqrt 5/5`

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Simplifying an Expression by Rationalization of the Denominator
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पाठ 2: Real Numbers - Problem Set 2 [पृष्ठ ३५]

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

संबंधित प्रश्‍न

Rationalize the denominator.

`3/(2 sqrt 5 - 3 sqrt 2)`


Rationalize the denominator.

`12/(4sqrt3 - sqrt 2)`


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


Simplify by rationalising the denominator in the following.

`(3sqrt(2))/sqrt(5)`


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

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


Simplify the following

`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`


Simplify the following

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


Simplify the following

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


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

`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = "a" + "b"sqrt(3)`


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

`(sqrt(11) - sqrt(7))/(sqrt(11) + sqrt(7)) = "a" - "b"sqrt(77)`


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

`(7 + sqrt(5))/(7 - sqrt(5)) - (7 - sqrt(5))/(7 + sqrt(5)) = "a" + "b"sqrt(5)`


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 = `(7 + 4sqrt(3))`, find the value of `x^3 + (1)/x^3`.


If x = `(4 - sqrt(15))`, find the values of:

`(x + (1)/x)^2` 


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

x2 + y2


Draw a line segment of length `sqrt5` cm.


Show that: `x^3 + 1/x^3 = 52`, if x = 2 + `sqrt3`


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