A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Simplify, show work please √18 ---- √54

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

    1/Sqrt(3)

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

    \[3\sqrt{2}/3\sqrt{6}\]

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

    \[3\sqrt{2}/3\sqrt{3}\sqrt{2}\]

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

    cancel out common factors that exist in both numerator and denominator. Like the 3, and the sqrt 2 This leaves 1/\[1/\sqrt{3}\] This is not considered "good form" (a radical in the denominator so multiply both numerator and denominator by sq rt of 3 \[\sqrt{3}/3\] or 1/3 sqrt 3

  5. radar
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    did you follow, I tried to show work.

  6. radar
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I am standing by for any questions or clarification

  7. radar
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I just noted that I did not show how the original numbers were changed. 18 is the same as 9 x 2. Well 9 is a perfect square with a square root of 3 which can be removed from the radical leaving only the 2 in the radical. Comphrendo?

  8. radar
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the 54 is the same as 9 times 6 and the same procedure can be followed leaving only the 6 inside the radical.

  9. 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.