Question

State True or False.

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

Answer 1

Correct option is A. True
$$\\ \sqrt { 3 } =1.73205080757......\\ Also\quad \sqrt { 2 } =1.41421356237........\\ \sqrt { 3 } and\quad \sqrt { 2 } are\quad irrational\quad numbers,\quad since\quad their\quad decimal\quad representaion\quad is\quad$$

$$ non\quad terminating\quad non\quad repeating.\\ And\quad addition\quad of\quad two\quad irrational\quad numbers\quad is\quad irrational.\\ Hence,\quad \sqrt { 2 } +\sqrt { 3 } \quad is\quad an\quad irrational\quad number.\\ \quad $$