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Math Help - Square Root Simplification

  1. #1
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    Square Root Simplification

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

    Anyone know how to simplify this?
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by gearshifter View Post
    (sqroot(x^3+x^2))/x

    Anyone know how to simplify this?
    If this is what you wrote:

    \frac{\sqrt{x^3+x^2}}{x}, then

    \frac{\sqrt{x^3+x^2}}{x}=\frac{\sqrt{x^2(x+1)}}{x}  =\frac{x\sqrt{x+1}}{x}=\sqrt{x+1}
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  3. #3
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    how does  \frac{\sqrt{x^2(x+1)}}{x} equal  \frac{x \sqrt {x+1}}{x}

    ?
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  4. #4
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    Quote Originally Posted by hana_102 View Post
    how does  \frac{\sqrt{x^2(x+1)}}{x} equal  \frac{x \sqrt {x+1}}{x}

    ?
    Think of it like this

    [(x^2)(x+1)]^{\frac{1}{2}}

    Distribute the power of \frac{1}{2}

    x\sqrt{x+1}
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  5. #5
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    what if it was "For x0"?
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  6. #6
    A riddle wrapped in an enigma
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    Quote Originally Posted by gearshifter View Post
    what if it was "For x0"?
    If x=0 or x=-1, the radicand is 0.

    If x<-1, the radicand is negative thus producing imaginary solutions.
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