Math, asked by boparailucky, 9 months ago

PROVE (ROOT2+2)^2 AS RATIONAL OR IRRATIONAL

Answers

Answered by ankushchak
1

Answer:

it is irrational

Step-by-step explanation:

(√2+2)^2

(√2)^2 +2^2+2×√2×2

2+4+4√2

6+4√2

Answered by Anonymous
1

Answer: Irrational number

Step-by-step explanation:

6+4\sqrt{2} =a/b\\Let it be arationalnumber\\4\sqrt{2} =a-6b/b\\\sqrt{2} =a-6b/4b\\

a-6b/4b is a rational number

therefore \sqrt{2} is a rational number which controdicts the fact that \sqrt{2} is a irrational number.

Therefore our assumtion was wrong.

Therefore, (\sqrt{2} +2)^{2}is not a rational number.

Therefore, it is an irrational number.

Pls mark this as the brainiest

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