Question

Simplify the sum or difference : $4\sqrt{2}-7\sqrt{2}$

• A. $-\sqrt{6}$
• B. $-3\sqrt{2}$
• C. $-11\sqrt{2}$
• D. $11\sqrt{2}$

Answer 1

The correct option is B

$-3\sqrt{2}$

Explanation for the correct option:

Given that $4\sqrt{2}-7\sqrt{2}$

By subtracting we get,
$$\begin{gathered} 4\sqrt{2}-7\sqrt{2}=(4-7)\sqrt{2} \\ =-3\sqrt{2} \end{gathered}$$

Hence, option(B) is correct.