Perform the indicated operation. Simplify, if possible. $4 \sqrt { 49 } + 2 \sqrt { 12 } - 5 \sqrt { 27 }$
A) $17 \sqrt { 3 }$
B) $7 - 11 \sqrt { 3 }$
C) $28 - 11 \sqrt { 3 }$
D) $28 + 6 \sqrt { 2 } - 15 \sqrt { 3 }$

Question

Quizplus · Accepted Answer

First, simplify each term under the square root: $4 \sqrt{49} = 4 \times 7 = 28$, $2 \sqrt{12} = 2 \sqrt{4 \times 3} = 2 \times 2 \sqrt{3} = 4 \sqrt{3}$, and $5 \sqrt{27} = 5 \sqrt{9 \times 3} = 5 \times 3 \sqrt{3} = 15 \sqrt{3}$. Combining these results gives $28 + 4 \sqrt{3} - 15 \sqrt{3} = 28 - 11 \sqrt{3}$.

Perform the Indicated Operation 449+212−5274 \sqrt { 49 } + 2 \sqrt { 12 } - 5 \sqrt { 27 }449​+212​−527​

Perform the Indicated Operation $4 \sqrt { 49 } + 2 \sqrt { 12 } - 5 \sqrt { 27 }$