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Math Help - Simplifying Radical Expression (CtP: Check the Proof)

  1. #1
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    Simplifying Radical Expression (CtP: Check the Proof)

    Can you check to see if I took the proper steps to get the right answer?


    Simplify:
    \sqrt {\frac {36x}{y^3}}

    The answer is:
     <br />
\frac {6(\sqrt {xy})}{y^2}<br />

    My steps:
    1. Simplify the numerator so it becomes:
     <br />
\frac {6\sqrt {x}}{\sqrt {y^3}}<br />

    2. Simplify the denominator so it becomes:
    \frac {6\sqrt {x}}{y\sqrt {y}}

    3. It's improper to have a radical in the denominator so multiply the denominator and number by the square root of y would simplify that:
    \frac {6\sqrt {x(y)}}{y\sqrt {y} * (\sqrt {y})}

    Equals:

    \frac {6\sqrt {xy}}{y^2}
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  2. #2
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    Looks good to me, well done.

    Better check that LaTeX.
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