Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Spartan_Of_Ares Group Title

what is the value of the expression sqrt(27)+sqrt(32)-sqrt(75)

  • one year ago
  • one year ago

  • This Question is Closed
  1. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sqrt(27)+\sqrt(32)-\sqrt(75)\]

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

    @zaynahf if your not busy can you help me out?

    • one year ago
  3. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Sure, i can! Do you know how to simplify radicals?

    • one year ago
  4. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    not really

    • one year ago
  5. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    >< ---

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

    To simplify radicals, you have to try to find a perfect square that fits perfectly into the number. So for the first one: \[\sqrt{27}\] the biggest perfect square that can fit into it is 9. So, the inside would simplify to be: \[\sqrt{9 \times 3} = 3\sqrt{3}\]

    • one year ago
  7. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so i can get \[\sqrt16X2 = 4\sqrt2 ?\]

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

    Yeah! Now try the third one

    • one year ago
  9. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sqrt75 = \sqrt5X15 = 5\sqrt5?\]

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

    No, since neither 15 nor 5 are perfect squares. Here are the perfect squares: 1,4,9,16,25,36,49,64,81,100....

    • one year ago
  11. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so \[aaaannnnnd`im lost\]

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

    lol i'll guide you through

    • one year ago
  13. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

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

    Ok since you want to get the biggest one that goes into there, start from the top of the list. Try seeing if 100 goes into 75 (obviously not), so just start from the smallest number after 75. 64,36,25,16,4,1. When you find the one that goes into 72, let me know.

    • one year ago
  15. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    64

    • one year ago
  16. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    64 goes into 75 evenly?

    • one year ago
  17. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh no 25

    • one year ago
  18. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Good! Now what times 25 is 75?

    • one year ago
  19. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    3

    • one year ago
  20. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    So thats what goes under the radical: \[\sqrt{75}= \sqrt{25 \times 3}= 5\sqrt{3}\] Right?

    • one year ago
  21. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok what do i do now multiply them together?

    • one year ago
  22. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[3\sqrt{3}+4\sqrt{2}-5\sqrt{3}\] Is that what you have so far?

    • one year ago
  23. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

    • one year ago
  24. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    There are only 2 with the same base radical, so you can only simplify those

    • one year ago
  25. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so i get \[8\sqrt3+ 4\sqrt2\]

    • one year ago
  26. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Remember, it's 3-5, not 3+5

    • one year ago
  27. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    -2√3+4√2

    • one year ago
  28. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    is that my final answer?

    • one year ago
  29. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Perfect

    • one year ago
  30. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes it is

    • one year ago
  31. Spartan_Of_Ares Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thnxs so much ^_^ now i can sleep ... eh maybe

    • one year ago
  32. zaynahf Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    No problem! Let me know if you need other help

    • one year ago
    • Attachments:

See more questions >>>

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.