InterviewSolution
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InterviewSolution
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Show that ` 1/sqrt2` is irrational. |
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Answer» Let us assume, to the contrary that` 1/sqrt2` is rational. Then , there exist co-prime a and b ` (b ne 0)` such that ` 1/sqrt2 = a/b Rightarrow sqrt2 = b/a` Since a and b are integers , so ` a/b` is rational. Thus, `sqrt2` is also rational. But, this contradicts the fact that ` sqrt2` is irrational. So, our assumption is incorrect. Hence, `1/sqrt2` is irrational. |
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