Question

Find the value of $3\sqrt{48}-4\sqrt{75}+5\sqrt{192}$

• A. True
• B. False
• C. $24\sqrt{3}$
• D. $42\sqrt{3}$

Answer 1

The correct option is A

True

Given

$3\sqrt{48}-4\sqrt{75}+5\sqrt{192}$

48 = $16\times 3$
75 = $25\times 3$
192 = $64\times 3$

=$3\sqrt{16\times 3}-4\sqrt{25\times 3}+5\sqrt{64\times 3}$
= $3\times 4\sqrt{3}-4\times 5\sqrt{3}+5\times 8\sqrt{3}$
= $12\sqrt{3}-20\sqrt{3}+40\sqrt{3}$
= $32\sqrt{3}$