Add and Subtract Square Roots
-$\sqrt { 16 } + \sqrt { 245 } + \sqrt { 4 } + \sqrt { 405 }$
A) $16 \sqrt { 5 } + 6$
B) $16 \sqrt { 5 } + \sqrt { 16 } + \sqrt { 4 }$
C) $\sqrt { 245 } + \sqrt { 405 } + 6$
D) $130 \sqrt { 5 } + 6$

Question

Quizplus · Accepted Answer

First, simplify each square root: $\sqrt{16} = 4$, $\sqrt{245} = \sqrt{5 \times 49} = 7\sqrt{5}$, $\sqrt{4} = 2$, $\sqrt{405} = \sqrt{5 \times 81} = 9\sqrt{5}$. Adding these together gives $4 + 7\sqrt{5} + 2 + 9\sqrt{5} = 6 + 16\sqrt{5}$.

Add and Subtract Square Roots - 16+245+4+405\sqrt { 16 } + \sqrt { 245 } + \sqrt { 4 } + \sqrt { 405 }16​+245​+4​+405​

Add and Subtract Square Roots
- $\sqrt { 16 } + \sqrt { 245 } + \sqrt { 4 } + \sqrt { 405 }$