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Maharashtra State BoardSSC (English Medium) 9th Standard

Write the simplest form of rationalising factor for the given surd. 3 sqrt 72 - Algebra

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Question

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

`3 sqrt 72`

Sum

Solution

Since, `3 sqrt 72 =3 sqrt(36 xx 2) =3 xx 6sqrt2=18sqrt 2`

`18sqrt2 xx sqrt2 = 18 xx 2 = 36` is a rational number.

So, `sqrt 2` 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) (v) | Page 35
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