Question

(√2+1)whole square
is a irrational number? Justify your answer.
​

Answer 1

Let us assume that √2+1 is a rational number and equal to another rational

a/b,where b is not equal to zero.

Therefore,

√2+1 = a/b

√2 = a/b - 1

√2 = a - b/b

we know that √2 is an irrational number. So, our assumption is wrong and √2+1 is an irrational number.

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