Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
-$( 6 \sqrt { 5 } + 3 ) ( 6 \sqrt { 5 } + 8 )$
A) $60 \sqrt { 5 } + 48$
B) $204 + 66 \sqrt { 5 }$
C) $108 \sqrt { 5 }$
D) $24 + 36 \sqrt { 5 ^ { 2 } } + 48 \sqrt { 5 }$

Question

Quizplus · Accepted Answer

To solve this, we use the distributive property (FOIL method for binomials): $(6\sqrt{5} + 3)(6\sqrt{5} + 8)$. Multiplying the terms gives us: $36\cdot5 + 48\sqrt{5} + 18\sqrt{5} + 24$. Simplifying, we get $180 + 66\sqrt{5} + 24$, which simplifies further to $204 + 66\sqrt{5}$.

Multiply, and Then Simplify If Possible (65+3)(65+8)( 6 \sqrt { 5 } + 3 ) ( 6 \sqrt { 5 } + 8 )(65​+3)(65​+8)

Multiply, and Then Simplify If Possible $( 6 \sqrt { 5 } + 3 ) ( 6 \sqrt { 5 } + 8 )$