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I need step by step detail on how to solve this problem.

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\[\frac{ \sqrt{a }+2\sqrt{y} }{ \sqrt{a}-2\sqrt{y} }\] Rationalize the denominator and simplify.
\[\frac{ \sqrt{a}+2\sqrt{y} }{ \sqrt{a}+2\sqrt{y}}\]
multiply by that

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\[\frac{ (\sqrt{a}+2\sqrt{y})^{2} }{ (\sqrt{a})^{2}-(2\sqrt{y})^{2} }\] That's really as far as I can take it because it's the actual multiplying radicals and simplifying stuff that I have trouble with.
The numerator expands to \[(\sqrt{a}+2\sqrt{y})^2 = \sqrt{a}^2+4\sqrt{a}\sqrt{y}+4\sqrt{y}^2 = a + 4\sqrt{a}\sqrt{y}+4y\]
denominator goes to \[a - 4y\]
no more roots in denominator, which is what they want
Ohhh Ok so that was what I kept getting but in the denominator I mixed it up and got it a+4y so that was my problem. Thank you that makes a lot more sense.
welcome, goodluck

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