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Maharashtra State BoardSSC (English Medium) 9th Standard

State whether the following number is a surd or not. 164 - Algebra

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Question

State whether the following number is a surd or not.

`root (4)(16)`

Sum

Solution

`root (4)(16)`

= `root (4)(2^4)`

= `(2 xx 2 xx 2 xx 2)^(1/4)`

= `(2^4)^(1/4)`

= 2    ....(Rational number)

So, `root (4)(16) ` is not a surd.

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

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