What is the product? Assume $$ x \geq 0 $$ $$ \begin{array}{l}(\sqrt{3 x}+\sqrt{5})(\sqrt{15 x}+2 \sqrt{30}) \ 3 x \sqrt{5}+3 \sqrt{165 x}+10 \sqrt{6} \ 3 x \sqrt{5}+6 \sqrt{10 x}+5 \sqrt{3 x}+10 \sqrt{6} \ 3 x \sqrt{5}+10 \sqrt{6} \ 6 \sqrt{3 x}+10 \sqrt{6}\end{array} $$ $$ \begin{array}{l} ext {. }\end{array} $$

Question

What is the product? Assume $$ x \geq 0 $$ $$ \begin{array}{l}(\sqrt{3 x}+\sqrt{5})(\sqrt{15 x}+2 \sqrt{30}) \ 3 x \sqrt{5}+3 \sqrt{165 x}+10 \sqrt{6} \ 3 x \sqrt{5}+6 \sqrt{10 x}+5 \sqrt{3 x}+10 \sqrt{6} \ 3 x \sqrt{5}+10 \sqrt{6} \ 6 \sqrt{3 x}+10 \sqrt{6}\end{array} $$ $$ \begin{array}{l}	ext {. }\end{array} $$

Powers Pierce · Accepted Answer

The product is $$ 3x\sqrt{5} + 6\sqrt{10x} + 5\sqrt{3x} + 10\sqrt{6} $$.

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