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

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

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प्रश्न

Rationalize the denominator.

`1/(sqrt 3 - sqrt 2)`

बेरीज
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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`

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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) (iii) | पृष्ठ ३५

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