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

Rationalize the denominator. 1/sqrt5 - Algebra

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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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Real Numbers - Problem Set 2 [पृष्ठ ३५]

APPEARS IN

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.

`1/(sqrt 3 - sqrt 2)`


Rationalise the denominators of : `[ sqrt3 - sqrt2 ]/[ sqrt3 + sqrt2 ]`


If `sqrt2` = 1.4 and `sqrt3` = 1.7, find the value of `(2 - sqrt3)/(sqrt3).`


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

`(5 + sqrt(6))/(5 - sqrt(6)`


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

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


Simplify by rationalising the denominator in the following.

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


Simplify the following

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


Simplify the following

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


Simplify the following :

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


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

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


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 values of a and b:

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


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

`x^3 + (1)/x^3`


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

x3 + y3


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

x3 + y3


Show that Negative of an irrational number is irrational.


Draw a line segment of length `sqrt3` cm.


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