A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

can someone help me understand on how to simplify radicals?

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

    Where are u stuck? do u have any examples?

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

    how would I simplify 16/81 all under a square root simble?|dw:1327798829785:dw|

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

    \[\sqrt{\frac{16}{81}}\]That right?

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

    yea!!!

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

    That can we written as, \[\frac{\sqrt{16}}{\sqrt{81}}\]

  6. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can you solve now?

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

    so then it would be like 4 over 9?

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

    is that simplified?

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

    |dw:1327799041137:dw|

  10. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes 4/9 is correct. but How u got 4/9 ? u simplified using the square root.. So the cancel will be cancelled now.

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

    oh that makes sense, thank you:) would you be able to help me out with a few more problems?

  12. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sqrt{\frac{16}{81}} \to \frac{\sqrt{16}}{\sqrt{81}} \to \frac 49 \]

  13. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Welcome. How many do u have? i will help u as much as i can.

  14. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont have much time though.

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

    ok, then ill ask you the ones that are more difficult than others

  16. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Feel free to do so.

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

    how would i simplify |dw:1327799236709:dw|

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

    and i also am wondering how I would solve\[2\sqrt{3}\div3\sqrt{2}\]

  19. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sqrt{75} \text{ can be written as,} \sqrt{ 25 \times 3} \to 5 \sqrt3\]

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

    ok i got that one thanks:)

  21. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So now u cann those.

  22. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For the second one, That is simplified, but indirectly.

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

    one more question after the last one i posted is How do i simplify questions that have like 10 over square root 5|dw:1327799591814:dw|

  24. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{10}{\sqrt5} \times \frac{\sqrt5}{\sqrt5}\]

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

    so for the one thats simplified i would just write simplfyied?

  26. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Idk.. have you guys studied rationalizing?

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

    um... i don't know

  28. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{2\sqrt3}{3 \sqrt 2}\times \frac{3 \sqrt2}{3 \sqrt2}\]Now u may solve this.

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

    i cross multiply?

  30. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Nope, simply multiply. You ONLY cross multiply when there's a "=" sign in between.

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

    ah, i see

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

    Just a nice couple of things about radicals. If a and b are numbers then \[\sqrt{ab} = \sqrt{a}\sqrt{b}\] \[\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}\] and if n and m are any numbers, then \[n\sqrt{a} + m\sqrt{a} = (n+m)\sqrt{a}\]

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

    should add \[b \neq 0\] for that second one..

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

    can you help me with a problem?

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

    what was the second one?

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

    the second one is the fraction, one must never divide by zero. Also a and b are obviously nonnegative (unless it's an odd radical)

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

    um can you help me with a few more questions?

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

    ? what's the problem?

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

    how would i simplify |dw:1327800649423:dw|

  40. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Rationalize it, \[\frac{7}{2 \sqrt2} \times \frac{2 \sqrt2}{2 \sqrt2}\]

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

    why do you multiply it?

  42. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Whenever u have a sqrt in bottom part. we always do it that way to simplify it. The method is known as rationalizing. in which we multiply and divide the fraction by the denomiator.

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

    ok, so im stupid, so can you help me multiply that?

  44. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.youtube.com/watch?v=gY5TvlHg4Vk

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

    ok thanks, thats helpful :)

  46. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (:

  47. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Bye, c ya.

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

    c ya too

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

    on that last one it was sufficient to just multiply by \[\frac{\sqrt{2}}{\sqrt{2}}\]

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

    which one was that?

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

    is|dw:1327802012909:dw|

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

    Ok, suppose you have a fraction like this \[\frac{7}{2\sqrt{2}}.\] You want to rationalise the denominator, which means - make the number on the bottom into something without roots. Now multiplying this fraction by 1 will not change it. Notice that \[1 = \frac{\sqrt{2}}{\sqrt{2}}\] and this is true for anything: something divided by itself equals 1. Therefore \[\frac{7}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{7\sqrt{2}}{2(\sqrt{2})^2}\] Now the squared removes the square root and you are just left with 2: \[(\sqrt{2})^2 = 2\] So we get in the end: \[\frac{7\sqrt{2}}{4}\] and this is equal to what you started with, and the change we have made is we have rationalised the denominator.

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

    thank you

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

    That's wrong by the way, \[\sqrt{1} + \sqrt{1} = 2\sqrt{1}\] because there is two of them! and we know that \[\sqrt{1} = 1\] so \[\sqrt{1} + \sqrt{1} = 2\sqrt{1} = 2\]

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

    and so the square root of 1 +the square root of 1 is 2?

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

    yes, since the square root of 1 is 1, so it reduces to 1+1!

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

    ah, thank you:) I have now finished my math assignment. You have helped me so much, instead of just giving me the answers you helped me understand it

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

    no problem! Hope it's been a help

  59. 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.