Add or subtract. Assume all variables represent positive real numbers.
-$$\sqrt { 2 } + 7 \sqrt { 8 } + 7 \sqrt { 18 }$$
A) $14 \sqrt { 2 }$
B) $14 \sqrt { 28 }$
C) $36 \sqrt { 2 }$
D) $36 \sqrt { 28 }$

Question

Quizplus · Accepted Answer

The expression simplifies by factoring out squares from under the radicals: $\sqrt{2} + 7\sqrt{4 \cdot 2} + 7\sqrt{9 \cdot 2} = \sqrt{2} + 7 \cdot 2\sqrt{2} + 7 \cdot 3\sqrt{2} = \sqrt{2} + 14\sqrt{2} + 21\sqrt{2} = 36\sqrt{2}$.

Add or Subtract 2+78+718\sqrt { 2 } + 7 \sqrt { 8 } + 7 \sqrt { 18 }2​+78​+718​

Add or Subtract $\sqrt { 2 } + 7 \sqrt { 8 } + 7 \sqrt { 18 }$