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becky

  • 5 years ago

I was asked to simplify square roots and I don't understand the instructions.

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  1. becky
    • 5 years ago
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    the square root of 50?

  2. sandra
    • 5 years ago
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    ok, to do this you'd *like* to find a perfect square that is a factor of 50

  3. sandra
    • 5 years ago
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    so one is 25

  4. sandra
    • 5 years ago
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    \[\sqrt{50} = \sqrt{25 x 2}\]

  5. sandra
    • 5 years ago
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    now by the property of radicals - we know that the square root of two number multipled: e.g. \[\sqrt{a*b} = \sqrt{a} * \sqrt{?}\]

  6. sandra
    • 5 years ago
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    ugh, with that ? being b

  7. sandra
    • 5 years ago
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    so \[\sqrt{50} = \sqrt{25 * 2} = \sqrt{25} * \sqrt{2} = 5 * \sqrt{?}\]

  8. sandra
    • 5 years ago
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    meh - with that last "?" above being "2"

  9. sandra
    • 5 years ago
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    \[5*\sqrt{2}\]

  10. divanshu
    • 5 years ago
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    see dont listen to sandra and galf of the work is done follow this suppose that you have to find sqrt of 50 look for nearest perfect sqrt so aqrt of following numbers are 1 =1 4=2 9=3 25=5 36=6 49=7 64=8 so the sqrt of five lies between 7 and 8 that is it has to be something like 7point something got it

  11. becky
    • 5 years ago
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    so you just guess for the first number? and hope you can find a square

  12. divanshu
    • 5 years ago
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    well i must say sandra is genius at explaining things

  13. sandra
    • 5 years ago
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    check out the explanation here on simplifying radicals: http://www.purplemath.com/modules/radicals.htm

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