The expression (sqrt(xy))/y simplifies to sqrt(x/y) under the condition that y > 0. This is established by recognizing that y can be expressed as sqrt(y^2), allowing the square root properties to be applied effectively. The simplification process involves dividing the square root of the product xy by y, leading to the conclusion that sqrt(xy)/y equals sqrt(x/y). This transformation is a fundamental property of square roots and rational expressions.
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If y > 0, then ##\ y=\sqrt{y^2}\ .\ ## Right ?Marcin H said:Homework Statement
I just had a simplification question. How is (sqrt(xy))/y the same thing as sqrt(x/y)??
Homework Equations
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The Attempt at a Solution
I don't see how you can get that. I tried square rooting the top and bottom, but I don't think that gets you anywhere...