Multiply.
-$( 5 \sqrt { 7 } + 2 \sqrt { 2 } ) ( 2 \sqrt { 13 } - 2 \sqrt { 11 } )$
A) $10 \sqrt { 91 } - 10 \sqrt { 77 } + 4 \sqrt { 26 } - 2 \sqrt { 22 }$
B) $10 \sqrt { 91 } - 10 \sqrt { 77 } + 2 \sqrt { 26 } - 4 \sqrt { 22 }$
C) $10 \sqrt { 91 } - 2 \sqrt { 77 } + 4 \sqrt { 26 } - 4 \sqrt { 22 }$
D) $10 \sqrt { 91 } - 10 \sqrt { 77 } + 4 \sqrt { 26 } - 4 \sqrt { 22 }$

Question

Quizplus · Accepted Answer

To multiply the expressions, use the distributive property:  $(5\sqrt{7})(2\sqrt{13}) = 10\sqrt{91}$,  $(5\sqrt{7})(-2\sqrt{11}) = -10\sqrt{77}$,  $(2\sqrt{2})(2\sqrt{13}) = 4\sqrt{26}$,  $(2\sqrt{2})(-2\sqrt{11}) = -4\sqrt{22}$.  Combine these results to get: $10\sqrt{91} - 10\sqrt{77} + 4\sqrt{26} - 4\sqrt{22}$.

Multiply - (57+22)(213−211)( 5 \sqrt { 7 } + 2 \sqrt { 2 } ) ( 2 \sqrt { 13 } - 2 \sqrt { 11 } )(57​+22​)(213​−211​)

Multiply
- $( 5 \sqrt { 7 } + 2 \sqrt { 2 } ) ( 2 \sqrt { 13 } - 2 \sqrt { 11 } )$