A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Tia_Sweetheart17

  • 4 years ago

square root of 512m^3. show work

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

    Radicals... In order to find the square root, we need to find a perfect square factor of 512. 64 is a perfect square factor, which can be multiplied by 8 to give 512. So we can write the square of 512 this way. \[\sqrt{512 m^3} = \sqrt{64 * 8 m^3}\]

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

    \[\sqrt{64}*\sqrt{8 m^3} = 8 * \sqrt{4 * 2 m^3}\]

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

    256 is also a perfect square factor :)

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

    \[8*\sqrt{4}*\sqrt{2 m^3} = 8*2*\sqrt{2 m^3} = 16\sqrt{2m^3}\]

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

    Yeah, we could've skipped all that using 256, thanks Rick :)

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

    The cube root of meters cubed is meters to the 1.5 power (yeah, I know, its weird). So you can write your final answer as:\[\sqrt{512 m^3} = 16\sqrt{2} m^{1.5}\]

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

    Well, is that meters cubed, or is it a variable?

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

    Either way, the answer is still the same.

  9. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I assume it's a variable

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

    Yeah, makes more sense, meters to the 1.5 power, lol.

  11. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol

  12. 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.