Simplifying Radical Expressions

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AI Thread Summary
The discussion centers on simplifying the radical expression (sqrt(xy))/y and understanding its equivalence to sqrt(x/y). Participants express confusion over the simplification process, particularly in how to manipulate the square roots. It is noted that if y is greater than zero, y can be expressed as sqrt(y^2), which aids in the simplification. Clarification is sought on the steps involved in reaching the conclusion that (sqrt(xy))/y simplifies to sqrt(x/y). Understanding these radical simplifications is essential for mastering algebraic expressions.
Marcin H
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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...
 
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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


none

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...
If y > 0, then ##\ y=\sqrt{y^2}\ .\ ## Right ?
 
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