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janessia

  • 2 years ago

need help with simplifying radicals

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  1. janessia
    • 2 years ago
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    |dw:1341559210514:dw|

  2. asnaseer
    • 2 years ago
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    the trick with these is to look at the number under the square root sign and see if you can express it as a product of a number that is a perfect square.

  3. asnaseer
    • 2 years ago
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    so think of how you can form 63 as a product of two numbers, one of which is a perfect square

  4. janessia
    • 2 years ago
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    nope its not a perfect square

  5. asnaseer
    • 2 years ago
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    63 is not a perfect square, but can you express 63 as the product of two other numbers, one of which is a perfect square?

  6. janessia
    • 2 years ago
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    can i do a factor tree?

  7. asnaseer
    • 2 years ago
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    yes

  8. janessia
    • 2 years ago
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    ohk hold on

  9. asnaseer
    • 2 years ago
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    ok

  10. janessia
    • 2 years ago
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    i got |dw:1341559648703:dw|

  11. janessia
    • 2 years ago
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    thts wat i got? ignore the bottom part

  12. asnaseer
    • 2 years ago
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    not quite:\[\sqrt{63}=\sqrt{9*7}=\sqrt{3^2*7}=3\sqrt{7}\]

  13. asnaseer
    • 2 years ago
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    you have swapped the 3 and 7

  14. janessia
    • 2 years ago
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    yea thts wat i meant

  15. asnaseer
    • 2 years ago
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    ok, now don't forget you also have to multiply by that 5 in the original question

  16. janessia
    • 2 years ago
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    so 5 times the answer we got?

  17. asnaseer
    • 2 years ago
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    yes - thats right

  18. asnaseer
    • 2 years ago
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    so what do you get for your final answer?

  19. janessia
    • 2 years ago
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    ohk hold on dnt leave yet

  20. asnaseer
    • 2 years ago
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    I won't - don't worry :)

  21. janessia
    • 2 years ago
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    i got a decimal?

  22. asnaseer
    • 2 years ago
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    leave the answer in radical form

  23. janessia
    • 2 years ago
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    ohhhhh

  24. janessia
    • 2 years ago
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    |dw:1341559908464:dw|

  25. asnaseer
    • 2 years ago
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    perfect! well done!

  26. janessia
    • 2 years ago
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    thnk u!!!!

  27. asnaseer
    • 2 years ago
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    yw :)

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