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State, Whether the Following Numbers is Rational Or Not : ( 2 + √2 )2 - Mathematics

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Question

State, whether the following numbers is rational or not : ( 2 + √2 )2

Sum

Solution

( 2 + √2 ) = 22 + 2 ( 2 ) ( √2 ) + ( √2 )2
                   = 4 + 4√2 + 2 
                   = 6 + 4√2 
Irrational number.

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Chapter 1: Rational and Irrational Numbers - Exercise 1 (B) [Page 13]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (B) | Q 1.1 | Page 13
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