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Question

Examine, whether the following numbers are rational or irrational:
(2+2)2.

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Solution

(2+2)2
=(2)2+2×2×2+(2)2
=2+42+4=6+42.
Here, 6 is rational but 42 is irrational.
Since sum of rational and irrational number is an irrational number, (2+2)2 is irrational number.

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