Add or subtract. Assume all variables represent positive real numbers.
-$\sqrt { 112 } + \sqrt { 448 }$
A) $- 4 \sqrt { 7 }$
B) $12 \sqrt { 14 }$
C) 84
D) $12 \sqrt { 7 }$

Question

Quizplus · Accepted Answer

First, simplify each square root by factoring them into prime factors: $\sqrt{112} = \sqrt{16 \cdot 7} = 4\sqrt{7}$ and $\sqrt{448} = \sqrt{64 \cdot 7} = 8\sqrt{7}$. Adding them together gives $4\sqrt{7} + 8\sqrt{7} = 12\sqrt{7}$.

Add or Subtract 112+448\sqrt { 112 } + \sqrt { 448 }112​+448​

Add or Subtract $\sqrt { 112 } + \sqrt { 448 }$