Perform the indicated operations.
-$- 4 \sqrt { 2 } - 7 \sqrt { 2 }$
A) $3 \sqrt { 2 }$
B) $28 \sqrt { 4 }$
C) $- 11 \sqrt { 4 }$
D) $- 11 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

When adding or subtracting square roots, you can combine them only if they have the same radicand (the number under the square root). Here, both terms have the same radicand ($\sqrt{2}$), so you can add the coefficients: $-4 - 7 = -11$. Thus, the answer is $-11\sqrt{2}$.

Perform the Indicated Operations −42−72- 4 \sqrt { 2 } - 7 \sqrt { 2 }−42​−72​

Perform the Indicated Operations $- 4 \sqrt { 2 } - 7 \sqrt { 2 }$