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

Rationalize the denominator. 47+43

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प्रश्न

Rationalize the denominator.

`4/(7+ 4 sqrt3)`

बेरीज
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उत्तर

`4/(7+ 4 sqrt3)`

`= 4/(7+ 4 sqrt3) xx (7- 4 sqrt3)/(7 - 4 sqrt3) `

`= (4(7-  4 sqrt3))/((7)^2 - (4 sqrt 3)^2)`  ....`[(a + b)(a - b) = a^2  - b^2]`

`= (4(7-  4 sqrt3)) /(49 - 48)`

`= 28 - 16 sqrt 3`

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Simplifying an Expression by Rationalization of the Denominator
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Real Numbers - Practice Set 2.4 [पृष्ठ ३२]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 2 Real Numbers
Practice Set 2.4 | Q (2) (iii) | पृष्ठ ३२

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