Math, asked by shaikabdul25825, 30 days ago

(√2+ 2)² is irrational​

Answers

Answered by mrmajnu51
2

Step-by-step explanation:

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ANSWER ✍️

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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.

hope this helps you

Answered by harshini789
0

Answer:

it is an irrational

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