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swiftskier96

Help!?!?!?!?!? 19. Divide and simplify if possible. Show your work. sqrt(250^16) ----------- sqrt(2x)

  • one year ago
  • one year ago

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  1. swiftskier96
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    19. Divide and simplify if possible. Show your work. sqrt(250^16) ----------- sqrt(2x)

    • one year ago
  2. swiftskier96
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    \[\frac{ \sqrt{250^{16}} }{ \sqrt{2x} }\]

    • one year ago
  3. cherio12
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    |dw:1355412399796:dw|

    • one year ago
  4. swiftskier96
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    Is that it?

    • one year ago
  5. cherio12
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    depending on your class they might ask you to remove the radical from the bottom

    • one year ago
  6. swiftskier96
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    Well the question did say divide and simplity if possible. So im not exactly sure how to do that.

    • one year ago
  7. cherio12
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    to get rid of a radical in the denominator you can multiply the whole thing by something equal to 1. for instance \[\frac{ \sqrt{2x} }{ \sqrt{2x} }=1\]

    • one year ago
  8. swiftskier96
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    So it would be? \[\frac{ \sqrt{250^{16}} }{ 1 }\]

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  9. swiftskier96
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    Wait.

    • one year ago
  10. swiftskier96
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    \[ \sqrt{250^{16}}\]

    • one year ago
  11. cherio12
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    \[\frac{ \sqrt{250^(16)} }{ \sqrt{2x}}*\frac{ \sqrt{2x} }{ \sqrt{2x} }\]

    • one year ago
  12. cherio12
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    \[\frac{ \sqrt{250^(16)*2x} }{2x }\]

    • one year ago
  13. swiftskier96
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    What do i do after that?

    • one year ago
  14. cherio12
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    \[\sqrt{250^{16}*2x}=(250^{16}*2x)^{\frac{ 1 }{ 2 }}\]

    • one year ago
  15. swiftskier96
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    So is that the final answer?

    • one year ago
  16. cherio12
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    what do you know about exponents

    • one year ago
  17. swiftskier96
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    Like what about exponents specifically?

    • one year ago
  18. cherio12
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    if you have something like \[(x^4)^3\] what does that equal?

    • one year ago
  19. swiftskier96
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    Dont you add those together? Or am i mistaken?

    • one year ago
  20. cherio12
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    you actually multiply them, you would add if it were x^4+x^3=x^7 but (x^4)^3=x^12

    • one year ago
  21. swiftskier96
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    Right. Sorry, i get those mixed up. Lol. What now?

    • one year ago
  22. cherio12
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    okay so you have (250^(16)*2x)^(1/2) this is the exponent thing we just went over

    • one year ago
  23. swiftskier96
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    So you're saying that you multiply 16 and 1/2?

    • one year ago
  24. cherio12
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    yup

    • one year ago
  25. swiftskier96
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    That = 8.

    • one year ago
  26. cherio12
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    yes, so you get \[\frac{ \sqrt{250^8*2x} }{ }\] I believe that is as simp

    • one year ago
  27. cherio12
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    as simple as you can get it*..its over sqrt(2x)

    • one year ago
  28. cherio12
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    \[\frac{ \sqrt{250^8*2x} }{ \sqrt{2x}}\]

    • one year ago
  29. swiftskier96
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    Ok cool! Thanks so much!!! :)

    • one year ago
  30. swiftskier96
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    Oh my gosh... I am so stupid... Theres an x in 250. It looks like sqrt(250x^16)... Im so stupid...

    • one year ago
  31. swiftskier96
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    Does that change the answer?

    • one year ago
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