Perform the indicated operation. Assume that all variables represent positive numbers.
-$\sqrt { 7 } ( \sqrt { 14 } - \sqrt { 7 } )$

Name: Perform the indicated operation. Assume that all variables represent positive numbers. -$\sqrt { 7 } ( \sqrt { 14 } - \sqrt { 7 } )$
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Question

Quizplus · Accepted Answer

The expression simplifies to $7 \sqrt{2} - 7$ by distributing $\sqrt{7}$ across the terms inside the parentheses, resulting in $\sqrt{7} \cdot \sqrt{14} - \sqrt{7} \cdot \sqrt{7} = \sqrt{7 \cdot 14} - 7 = 7\sqrt{2} - 7$.

Perform the Indicated Operation 7(14−7)\sqrt { 7 } ( \sqrt { 14 } - \sqrt { 7 } )7​(14​−7​)

Perform the Indicated Operation $\sqrt { 7 } ( \sqrt { 14 } - \sqrt { 7 } )$