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State with reason, whether the following is a surd. sqrt(0.04004000400004...) - Mathematics

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Question

State with reason, whether the following is a surd.

`sqrt(0.04004000400004...)`

Give Reasons
Sum
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Solution

`sqrt(0.04004000400004...)` is a surd

Reason:

The decimal 0.04004000400004... is non-terminating and non-repeating, so it sirational. 

Its square root is also irrational and in root form, so the expression is a surd.

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1C | Q 1. (xii) | Page 15
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