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Without asking for you to solve my math homework for me, I just would like to ask what the next step in this would be:

I have \(\displaystyle y^2=\frac{x^2-4}{4}\)

This is where the 10 years away from a math book is killing me...

If I do the square root, do I have to do the square root of the entire side, or can I do the squares of each piece??

The other option is to have the expression to the power of 1/2... But that creates extra confusion when I do the integral and wind up with a power of 3/2...

How would you handle a situation like this?