Question

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

Answer 1

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

Answer 2

\[\frac{ \sqrt{a}+2\sqrt{y} }{ \sqrt{a}+2\sqrt{y}}\]

Answer 3

multiply by that

Answer 4

\[\frac{ (\sqrt{a}+2\sqrt{y})^{2} }{ (\sqrt{a})^{2}-(2\sqrt{y})^{2} }\] 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.

Answer 5

The numerator expands to
\[(\sqrt{a}+2\sqrt{y})^2 = \sqrt{a}^2+4\sqrt{a}\sqrt{y}+4\sqrt{y}^2 = a + 4\sqrt{a}\sqrt{y}+4y\]

Answer 6

denominator goes to

\[a - 4y\]

Answer 7

no more roots in denominator, which is what they want

Answer 8

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.

Answer 9

welcome, goodluck