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State whether the following is irrational. (5 + sqrt(3))(4 − sqrt(2)) - Mathematics

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Question

State whether the following is irrational.

`(5 + sqrt(3))(4 - sqrt(2))`

Sum
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Solution

`(5 + sqrt(3))(4 - sqrt(2))`

= `20 - 5sqrt(2) + 4sqrt(3) - sqrt(6)`

Contains irrational terms → Sum is irrational

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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. (x) | Page 11
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