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Maharashtra State BoardSSC (English Medium) 9th Standard

Simplify. 2 sqrt 48 - sqrt 75 - 1/ sqrt 3 - Algebra

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Question

Simplify.

`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`

Sum

Solution

`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`

`= 2 sqrt(16 xx 3) - sqrt (25 xx 3) - 1/sqrt 3 xx sqrt 3/sqrt 3`

`=2xx4sqrt3-5sqrt3-sqrt3/3`

`= 8 sqrt 3 -5sqrt 3 - sqrt3/3`

`= 3 sqrt 3 - sqrt 3/3`

`= (9 sqrt 3 - sqrt 3)/3`

`= 8/3sqrt3`

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Chapter 2: Real Numbers - Problem Set 2 [Page 35]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 2 Real Numbers
Problem Set 2 | Q (7) (v) | Page 35
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