Question

Prove the following statements by contraposition (or directly if you prefer or are able to)

Answer 1

ANSWER

$Preposition:\text{ if }\frac{1}{r}\text{ is irrational, then }r\text{ is irrational}$$proof:\text{ suppose }\frac{1}{r}=\frac{1}{\sqrt{p}}$

where square root of 'p' is not a perfect square

$Thus:\text{ }r=\sqrt{p}$$\text{ Therefore}:r\text{ is irrational}$