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pokemon23

  • 4 years ago

Can someone tutor me in multiplying and dividing radicals? Please no nonsense I want to learning

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  1. Mimi_x3
    • 4 years ago
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    Hm..i said that i will help you :/

  2. pokemon23
    • 4 years ago
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    |dw:1326159651743:dw|

  3. Mimi_x3
    • 4 years ago
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    Just multiply. \[5*7\sqrt{8*3} \]

  4. UnkleRhaukus
    • 4 years ago
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    \[{1 \over√a} = {1 \over√a} \times {√a \over √a}={√a \over a}\]

  5. pokemon23
    • 4 years ago
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    so?

  6. Mimi_x3
    • 4 years ago
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    can't you times it.

  7. Mimi_x3
    • 4 years ago
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    Yes!

  8. pokemon23
    • 4 years ago
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    |dw:1326159934510:dw|

  9. Mimi_x3
    • 4 years ago
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    Correct!

  10. Mimi_x3
    • 4 years ago
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    Want to simplify it further?

  11. pokemon23
    • 4 years ago
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    yes please

  12. pokemon23
    • 4 years ago
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    how do you simplify it further?

  13. BlingBlong
    • 4 years ago
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    what times what gives 24, 6*4 so 35(6)^(1/2)*(4)^(1/2) or \[35\sqrt{4}\sqrt{6}\]

  14. pokemon23
    • 4 years ago
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    can we simplify it further

  15. BlingBlong
    • 4 years ago
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    now you can take the square root of 4 which is 2 therefore you are left with 35(2)(6)^(1/2)

  16. BlingBlong
    • 4 years ago
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    which is just equal to \[70\sqrt{6}\]

  17. pokemon23
    • 4 years ago
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    so its |dw:1326160227547:dw|

  18. pokemon23
    • 4 years ago
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    how can we simplify it their?

  19. BlingBlong
    • 4 years ago
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    you can't

  20. BlingBlong
    • 4 years ago
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    if you take the square root of 2 you end up with an irrational number which can only be approximated

  21. Mimi_x3
    • 4 years ago
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    Pokemon, you can just use a calculator to check, if you type that in the calculator, it won't equal the same to \[5\sqrt{8}*7\sqrt{3} \]

  22. pokemon23
    • 4 years ago
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    |dw:1326160630061:dw| to the solution

  23. Mimi_x3
    • 4 years ago
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    \[35*2\sqrt{6} \]

  24. Mimi_x3
    • 4 years ago
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    since \[\sqrt{4} = 2\]

  25. pokemon23
    • 4 years ago
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    how? how did you get the solution

  26. Mimi_x3
    • 4 years ago
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    Hmm...where don't you understand? It has been explained thoroughly.

  27. BlingBlong
    • 4 years ago
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    2*2 is = 4, when you take the square of a number it will tell you what two exact numbers can be multiplied together to give you the original number

  28. BlingBlong
    • 4 years ago
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    Radicals are simply the opposite of exponents. If you had just say 3^(3) = (3)(3)(3) = 27 27^(1/3) =3

  29. BlingBlong
    • 4 years ago
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    Thus (4)^(1/2) = 2 because 2*2 = 4

  30. BlingBlong
    • 4 years ago
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    You need to memorize the fundamental rule in radicals that (ab)^(1/2) = \[\sqrt{a}\sqrt{b}\]

  31. BlingBlong
    • 4 years ago
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    if you wish to simplify radicals further, usually I'm to lazy to do this though :d

  32. Mimi_x3
    • 4 years ago
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    You can simplify it further but you don't need to, it depends on the question.

  33. BlingBlong
    • 4 years ago
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    In your case 35(24)^(1/2) = \[35\sqrt{6}\sqrt{4}\]

  34. pokemon23
    • 4 years ago
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    thanks for the help

  35. BlingBlong
    • 4 years ago
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    since 35 is being multiplied by the radical when (4)^(1/2) is simplified to 2 you are left with 35(2)(6)^(1/2) if you take the square root of 6 you are going to end up with a very ugly number and in mathematics they usually like you to deal with exact numbers

  36. pokemon23
    • 4 years ago
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    you can reduce to 35|dw:1326161502375:dw|

  37. BlingBlong
    • 4 years ago
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    No problem I hope you have gained a better understanding of radicals, I would recommend look up the fundamental rules of radicals

  38. BlingBlong
    • 4 years ago
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    Once you know all the basic algebraic laws, math becomes a lot easier

  39. BlingBlong
    • 4 years ago
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    the final answer being 70(6)^(1/2) but I will stop posting now :D

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