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Maharashtra State BoardSSC (English Medium) 9th Standard

Classify the given pair of surds into like surd and unlike surd. 19sqrt12,6sqrt3

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Question

Classify the given pair of surds into like surd and unlike surd.

`19 sqrt 12 , 6 sqrt 3`

Sum
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Solution

`19 sqrt 12, 6 sqrt 3`

`19 sqrt12 = 19 xx sqrt(4xx3)`

`= 19 xx sqrt4 xx sqrt3`

`= 19 xx 2sqrt3`

`= 38sqrt3`

Here, the order of `38sqrt3` and `6sqrt 3` is same and their radicands are also same.

`19 sqrt 12, 6 sqrt 3` are like surds.

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Chapter 2: Real Numbers - Practice Set 2.3 [Page 30]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 2 Real Numbers
Practice Set 2.3 | Q (3) (iv) | Page 30
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