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Math Help - simplifying

  1. #1
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    simplifying

    For x0, simplify


    sqrt(x^3 + x^2) / x


    do you just simplify the interior and then -sqrt( ) ??
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by samtheman17 View Post
    For x0, simplify


    sqrt(x^3 + x^2) / x


    do you just simplify the interior and then -sqrt( ) ??

    Factor an x^2 from the numerator:

    \frac{\sqrt{x^2 ( x + 1)}}{x}

    Then write the square root as a product of the square roots of x^2 and x+1

    Good luck!
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  3. #3
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    so you then just cancel out x on top and bottom and are left with -sqrt(x-1) ?
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  4. #4
    Senior Member apcalculus's Avatar
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    Yes. It would be -\sqrt{x+1}.
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