Simplify the Expression $( 10 \sqrt { 5 } + 3 \sqrt { 2 } ) ( 3 \sqrt { 5 } + 9 \sqrt { 2 } )$

question 335

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $( 10 \sqrt { 5 } + 3 \sqrt { 2 } ) ( 3 \sqrt { 5 } + 9 \sqrt { 2 } )$

• A) \(30 \sqrt { 5 } + 27 \sqrt { 2 } + 99 \sqrt { 10 }\)
• B) \(30 \sqrt { 5 } + 27 \sqrt { 2 }\)
• C) \(204 + 99 \sqrt { 10 }\)
• D) \(96 + 99 \sqrt { 10 }\)

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