हिंदी

Rationalize the denominator. 12/(4sqrt3 - sqrt 2)

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प्रश्न

Rationalize the denominator.

`12/(4sqrt3 - sqrt 2)`

योग
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उत्तर

`12/(4sqrt3 - sqrt 2)`

`= 12/(4sqrt3 - sqrt 2) xx  (4sqrt3 + sqrt 2)/(4sqrt3 + sqrt 2)`

`= (12 (4sqrt3 + sqrt 2))/((4sqrt3)^2 -(sqrt 2)^2)   ...[(a+b)(a-b) = a^2 - b^2]`

`=(12 (4sqrt3 + sqrt 2))/(48 - 2)`

`= (12 (4sqrt3 + sqrt 2))/46`

`= (6 (4sqrt3 + sqrt 2))/23`

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Simplifying an Expression by Rationalization of the Denominator
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Real Numbers - Problem Set 2 [पृष्ठ ३५]

APPEARS IN

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

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Rationalize the denominator.

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