Perform the indicated operation. Assume that all variables represent positive real numbers.
-$\sqrt { 7 } ( \sqrt { 5 } - \sqrt { 3 } )$
A) $\sqrt { 35 } - \sqrt { 21 }$
B) $7 \sqrt { 5 } + 7 \sqrt { 3 }$
C) $\sqrt { 56 }$
D) $8 \sqrt { 7 }$

Question

Quizplus · Accepted Answer

Distribute $\sqrt{7}$ across the terms inside the parentheses to get $\sqrt{7} \cdot \sqrt{5} - \sqrt{7} \cdot \sqrt{3}$, which simplifies to $\sqrt{35} - \sqrt{21}$.

Perform the Indicated Operation 7(5−3)\sqrt { 7 } ( \sqrt { 5 } - \sqrt { 3 } )7​(5​−3​)

Perform the Indicated Operation $\sqrt { 7 } ( \sqrt { 5 } - \sqrt { 3 } )$