Solving the Mystery of Square Root x Multiplied by 1/x

Altami
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How is squareroot(x)*(1/x)= 1/square root x

can somebody please explain this? I think I am having a brain lockup...
 
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Let y=√x, the x=y². So √x/x = y/y² = 1/y = 1/√x.
 
mathman said:
Let y=√x, the x=y². So √x/x = y/y² = 1/y = 1/√x.

Thank you! For some reason I couldn't think of the reason to make the statement true.

Life saver!
 

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