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State whether the following is irrational. (3 + sqrt(2))(3 – sqrt(2)) - Mathematics

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Question

State whether the following is irrational.

`(3 + sqrt(2))(3 - sqrt(2))`

Sum
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Solution

`(3 + sqrt(2))(3 - sqrt(2))`

= 9 – 2

= 7

7 is a rational number.

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1B [Page 11]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1B | Q 3. (ix) | Page 11
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