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steffanie_0831

  • 2 years ago

Divide and simplify if possible.

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  1. steffanie_0831
    • 2 years ago
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    |dw:1356771183508:dw|

  2. LogicalApple
    • 2 years ago
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    Combine the square roots so the entire thing is under one big radical. Then simplify what is inside of it.

  3. steffanie_0831
    • 2 years ago
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    |dw:1356771844627:dw| like that?

  4. LogicalApple
    • 2 years ago
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    Close, but you need to keep it as a division problem. Take the square root of the entire fraction.

  5. steffanie_0831
    • 2 years ago
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    oh gotcha

  6. steffanie_0831
    • 2 years ago
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    |dw:1356772484638:dw| that right @LogicalApple

  7. LogicalApple
    • 2 years ago
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    Yes, good so far! Now see if you can cancel any terms.

  8. steffanie_0831
    • 2 years ago
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    |dw:1356772604623:dw| that good?

  9. LogicalApple
    • 2 years ago
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    Yes. And 250/2 = ?

  10. steffanie_0831
    • 2 years ago
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    yes so my final answer is...|dw:1356772711906:dw|

  11. steffanie_0831
    • 2 years ago
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    i ment 125 not 150

  12. LogicalApple
    • 2 years ago
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    We can simplify it one step further. 125 = 25 * 5 Thus the square root of (125 x^15) is the same as sqrt(25 * 5 * x^15) = 5 * sqrt(5 x^15). See why?

  13. steffanie_0831
    • 2 years ago
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    yeah cause 5^3 is 125 so would it be..

  14. steffanie_0831
    • 2 years ago
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    |dw:1356772944347:dw|

  15. steffanie_0831
    • 2 years ago
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    ??

  16. LogicalApple
    • 2 years ago
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    |dw:1356773014133:dw|

  17. steffanie_0831
    • 2 years ago
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    why 5 on the outside?

  18. LogicalApple
    • 2 years ago
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    |dw:1356773029033:dw|

  19. steffanie_0831
    • 2 years ago
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    gotcha

  20. hartnn
    • 2 years ago
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    in the same manner \(\large 5\sqrt{5x^{14}.x}=5\sqrt{x^{14}}\sqrt{5x}=5x^7\sqrt{5x}\)

  21. LogicalApple
    • 2 years ago
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    Yes what Goku said !

  22. steffanie_0831
    • 2 years ago
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    wait so is it...|dw:1356773379140:dw|

  23. hartnn
    • 2 years ago
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    they both are same, the 1st one is more simplified.

  24. LogicalApple
    • 2 years ago
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    What hartnn provided is the simplest (most simplified) version

  25. steffanie_0831
    • 2 years ago
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    oh gotcha now i see it thanks

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