Question

Simplify: $2\sqrt{32}-5\sqrt{2}+3\sqrt{128}$

• A. $9\sqrt{2}$
• B. $15\sqrt{2}$
• C. $27\sqrt{2}$
• D. $70\sqrt{2}$

Answer 1

Answer: (C)

$2\sqrt{32}-5\sqrt{2}+3\sqrt{128}$
$=2\sqrt{16\times 2}-5\sqrt{2}+3\sqrt{64\times 2}$
$=8\sqrt{2}-5\sqrt{2}+24\sqrt{2}$
$=27\sqrt{2}$