Question

prove that
$1 \div \sqrt{2 } \: is \: irrational$

Answer 1

proof that the square root of 2 is irrational. Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.

Answer 2

$\textbf{\huge{ANSWER:}}$

$\sf{To\:Prove:}$

$\frac{1}{\sqrt2}$

As we know, $\sqrt2$ is irrational.
Any integer divided by an irrational number is also irrational.

Due to this reason only, the number will be irrational.

$\frac{1}{\sqrt2}$ is $\textbf{irrational}$.

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