1/sqrt(2) is ______.

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KollegeApply · Accepted Answer

1/sqrt(2) is an irrational number. Explanation: `1/sqrt(2) = 1/sqrt(2) xx sqrt(2)/sqrt(2) = $\frac{1}{2}$ xx sqrt(2) Here, $\frac{1}{2}$ is rational and sqrt(2)` is irrational. And the product of a rational and an irrational is irrational. $\therefore$ $\frac{1}{2}$ xx sqrt(2) and hence 1/sqrt(2) is irrational.

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