Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ahoymewmew

  • 2 years ago

Can someone help me with Multiplying Radicals?

  • This Question is Closed
  1. ahoymewmew
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    These are the problems. V

    1 Attachment
  2. wio
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Where are you stuck? Do you know: \[\sqrt{a}\times \sqrt{b} = \sqrt{a\times b}\]

  3. ahoymewmew
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no @wio its confusing me.

  4. CliffSedge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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.

  5. CliffSedge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    #3 as an example: \[7xy \sqrt{2x} \cdot 3\sqrt{4xy^2} \rightarrow (7xy)(3) \cdot \sqrt{(2x)(4xy^2)}\]

  6. CliffSedge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[(7xy)(3) \cdot \sqrt{(2x)(4xy^2)} = 21xy \cdot \sqrt{2 \cdot 4 \cdot x^2 \cdot y^2}\] 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.

  7. CliffSedge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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.

  8. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.