Question

$\text{What is the simplified outcome of}\sqrt{18}+\sqrt{72}?$

• A. $9\sqrt{2}$
• B. $2\sqrt{9}$
• C. $6\sqrt{2}$
• D. None of the above

Answer 1

The correct option is A $9\sqrt{2}$

$\sqrt{18}+\sqrt{72}=\sqrt{9\times 2}+\sqrt{36\times 2}$ $=\sqrt{9}\times \sqrt{2}+\sqrt{36}\times \sqrt{2}$

$=3\sqrt{2}+6\sqrt{2}$

$=9\sqrt{2}$
So,
$\sqrt{18}+\sqrt{72}=9\sqrt{2}$