(√2+ 2)² is irrational
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Step-by-step explanation:
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(2 + √2)2 =
22 + (√2)2 + 2 x 2 x √2 [using identity, (a+b)2 = a2 + b2 + 2ab]
= 4 + 2 + 4√2
= 6 + 4√2
Here, 6 is a rational number but 4√2 is an irrational number. Since, the sum of a rational and an irrational number is an irrational number, therefore, (2+ √2)2 is an irrational number.
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Answer:
it is an irrational
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