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Maharashtra State BoardSSC (English Medium) 9th Standard

Write the simplest form of rationalising factor for the given surd. 27 - Algebra

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Question

Write the simplest form of rationalising factor for the given surd.

`sqrt 27`

Sum

Solution

Since , `sqrt 27 = sqrt (9 xx 3) = 3 sqrt 3`

`therefore 3sqrt3 xx sqrt3 = 3 xx 3 = 9` is a rational number.

So, `sqrt 3` is the simplest form of rationalising factor.

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Rationalisation of Surds
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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 (6) (iii) | Page 35
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