Multiply.
-$( 3 \sqrt { 3 } + 8 \sqrt { 7 } ) ( 5 \sqrt { 3 } + 10 \sqrt { 7 } )$
A) $15 \sqrt { 3 } + 80 \sqrt { 7 }$
B) $15 \sqrt { 3 } + 80 \sqrt { 7 } + 70 \sqrt { 21 }$
C) $- 515 + 70 \sqrt { 21 }$
D) $605 + 70 \sqrt { 21 }$

Question

Quizplus · Accepted Answer

To multiply the given expressions, use the distributive property (FOIL method for binomials): $(3\sqrt{3} + 8\sqrt{7})(5\sqrt{3} + 10\sqrt{7}) = 15\sqrt{9} + 30\sqrt{21} + 40\sqrt{21} + 80\sqrt{49}$. Simplify to get $15*3 + 70\sqrt{21} + 80*7 = 45 + 70\sqrt{21} + 560 = 605 + 70\sqrt{21}$.

Multiply - (33+87)(53+107)( 3 \sqrt { 3 } + 8 \sqrt { 7 } ) ( 5 \sqrt { 3 } + 10 \sqrt { 7 } )(33​+87​)(53​+107​)

Multiply
- $( 3 \sqrt { 3 } + 8 \sqrt { 7 } ) ( 5 \sqrt { 3 } + 10 \sqrt { 7 } )$