Question

Prove tha 1+1×under root2 is irrational

Answer 1

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Here is your solution....☺

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♦. To prove: 1 + √2 an irrational number.

♦ Let 1 + √2 = a/b [ form of rational number ]

=> √2 = a/b - 1
=> √2 = a - b/b

Here, in LHS we have √2 which is an irrational number whereas in RHS we have a rational number.

Therefore, our assumption is wrong.

Hence, 1 + √2 is an irrational number.

PROVED .....

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