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ahoymewmew

Can someone help me with Multiplying Radicals?

  • one year ago
  • one year ago

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  1. ahoymewmew
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    These are the problems. V

    • one year ago
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  2. wio
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    Where are you stuck? Do you know: \[\sqrt{a}\times \sqrt{b} = \sqrt{a\times b}\]

    • one year ago
  3. ahoymewmew
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    no @wio its confusing me.

    • one year ago
  4. CliffSedge
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    Multiply the numbers that are outside the radicals together, then multiply the numbers inside the radicals together. If the new radicand can be simplified by extracting roots, then do that and multiply those roots by the numbers outside.

    • one year ago
  5. CliffSedge
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    #3 as an example: \[7xy \sqrt{2x} \cdot 3\sqrt{4xy^2} \rightarrow (7xy)(3) \cdot \sqrt{(2x)(4xy^2)}\]

    • one year ago
  6. CliffSedge
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    \[(7xy)(3) \cdot \sqrt{(2x)(4xy^2)} = 21xy \cdot \sqrt{2 \cdot 4 \cdot x^2 \cdot y^2}\] The radical contains the squares, 4, x^2, and y^2, so take the roots of those out. \[21xy \cdot 2 \cdot x \cdot y \sqrt{2}\] Then just simplify that the rest of the way.

    • one year ago
  7. CliffSedge
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    Also note that you could have simplified the second radical first by taking out the 2 and the y since it had 4y^2 as a perfect square already.

    • one year ago
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