Question

State True or False.

$\sqrt{3}+\sqrt{2}$ is an irrational number.

• A. True
• B. False

Answer 1

The correct option is A True

$\sqrt{3}=\mathrm{1.73205080757......}Also\sqrt{2}=\mathrm{1.41421356237........}\sqrt{3}and\sqrt{2}areirrationalnumbers,sincetheirdecimalrepresentaionis$

$nonterminatingnonrepeating.Andadditionoftwoirrationalnumbersisirrational.Hence,\sqrt{2}+\sqrt{3}isanirrationalnumber.$