Question

State True or False.

$-\frac{2}{5}\sqrt{8}$ is an irrational number.

• A. True
• B. False

Answer 1

The correct option is A True

$\frac{-2}{5}\sqrt{8}=\frac{-4}{5}\sqrt{2}=-0.8\ast \sqrt{2}\sqrt{2}=\mathrm{1.41421356237........}\sqrt{2}isanirrationalnumber,sinceitsdecimalrepresentaionisnonterminatingnonrepeating.Multiplicationofrationalwithirrationalisirrational.Hence,\left(\frac{-2}{5}\sqrt{8}\right)isanirrationalnumber.$