Exercise problems I — task. Mathematics CBSE, Class 10.

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Prove that the following is irrational.

$\frac{1}{\sqrt{2}}$

Proof:

Assume that

$\frac{1}{\sqrt{2}}$ is

Therefore,

$\frac{1}{\sqrt{2}}$ can be expressed as

That is,

$\frac{1}{\sqrt{2}}=$

On simplification we get,

$\frac{p}{q}$ is

$p$ and

$q$ are

Therefore,

$\sqrt{2}$ is

This

, our assumption.

Hence,

$\frac{1}{\sqrt{2}}$ is

Answer variants:

$\frac{p}{q}$

$\frac{p}{q}$ , where

$p$ and

$q$ are any two integers such that \p q\neq 0\)

$\sqrt{2}=\frac{p}{q}$

$\sqrt{2}=\frac{q}{p}$

contradicts

irrational

rational

$\frac{p}{q}$ , where

$p$ and

$q$ are any two integers such that

$q\neq 0$

Did you find an error?

3. Exercise problems I