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Heya !

Check the attachment.
Hope it helps you :)
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Answer:

The correct option is B) [tex]3x\sqrt{5}+6\sqrt{10x}+5\sqrt{3x}+10\sqrt{6}[/tex]

Step-by-step explanation:

We need to calculate the product of [tex](\sqrt{3x}+\sqrt{5})(\sqrt{15x}+2\sqrt{30}[/tex]

Multiply given expression , term wise

[tex](\sqrt{3x}+\sqrt{5})(\sqrt{15x}+2\sqrt{30}[/tex]

[tex](\sqrt{3x}\times \sqrt{15x})+(\sqrt{3x}\times 2\sqrt{30})+(\sqrt{5}\times \sqrt{15x})+(\sqrt{5}\times 2\sqrt{30})[/tex]

[tex]3x\sqrt{5}+6\sqrt{10x}+5\sqrt{3x}+10\sqrt{6}[/tex]

Therefore, the correct option is B) [tex]3x\sqrt{5}+6\sqrt{10x}+5\sqrt{3x}+10\sqrt{6}[/tex]