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what is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)

  • calculista: the answer in the attached figure
  • eudora:

    Answer:

    [tex](30\sqrt{3}-21\sqrt{6})[/tex]

    Step-by-step explanation:

    We have to find the product of the expressions.

    [tex]3\sqrt{2}(5\sqrt{6}-7\sqrt{3})\\[/tex]

    = [tex]3\sqrt{2}\times 5\sqrt{6}-7\sqrt{3}\times 3\sqrt{2}[/tex] ( By distributive rule)

    = [tex]3\times 5(\sqrt{2})(\sqrt{6})-7\times 3(\sqrt{3})(\sqrt{2})[/tex]

    = [tex]15\sqrt{12}-21\sqrt{6}[/tex]

    = [tex]15\sqrt{4\times 3}-21\sqrt{6}[/tex]

    = [tex]30\sqrt{3}-21\sqrt{6}[/tex]

    = [tex](30\sqrt{3}-21\sqrt{6})[/tex]

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