Maharashtra State BoardSSC (English Medium) 9th Standard
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Rationalize the Denominator. - Algebra

One Line Answer

Rationalize the denominator.

`1/(sqrt 3 - sqrt 2)`

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Solution

`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`

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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 2 Real Numbers
Problem Set 2 | Q 8.3 | Page 35
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