Question

Simplify: $\sqrt{300}-\sqrt{48}+\sqrt{75}-\sqrt{147}$.

• A. $2\sqrt{3}$
• B. $\sqrt{3}$
• C. $4\sqrt{3}$
• D. None

Answer 1

The correct option is C $4\sqrt{3}$

$\sqrt{300}-\sqrt{48}+\sqrt{75}-\sqrt{147}$
$=\sqrt{100\times 3}-\sqrt{16\times 3}+\sqrt{25\times 3}-\sqrt{49\times 3}$
$=10\sqrt{3}-4\sqrt{3}+5\sqrt{3}-7\sqrt{3}=4\sqrt{3}$.

Therefore, option $C$ is correct.