A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

k_lynn

  • one year ago

http://prntscr.com/866akv Simplify...

  • This Question is Closed
  1. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Assuming all variables are non-negative. \(\large \sqrt{200xyz^3} \)

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    10 sqrt(2) x y z^3

  3. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hint: \[\Large 200 = 2 \cdot 100 = 2 \cdot 4 \cdot 25 = 2 \cdot {\left( {2 \cdot 5} \right)^2}\]

  4. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\large \sqrt{200xyz^3} \) \( \large = \sqrt{2 \times 100xyz^2z} \)

  5. k_lynn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm not understanding any of that :/

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\sqrt{100} = 10\) and \(\sqrt {z^2} = z\)

  7. k_lynn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[2z \sqrt{10xyz}\] Would it be this then?

  8. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    When you simplify a square root, you need to break up the numbers and variables inside the root into products in which one factor is a square.

  9. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\large =10z\sqrt{2xyz} \)

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You're on the right track, but it's the 10 that comes out and the 2 is left inside.

  11. k_lynn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ohh so \[10z \sqrt{2xyz}\]

  12. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes.

  13. k_lynn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okie doke. Thanks!

  14. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    For example, we broke up 200 into 2 * 100. 100 is the largest factor of 200 that is a perfect square.

  15. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You're welcome.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.