Question

rationalize the denominator and simplify
sq root a + 2 sq root y over sq root a - 2 sq root y

Answer 1

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

Answer 2

That will be equal to:
\[\frac{ (\sqrt{a}+2\sqrt{y})^2 }{ a-4y }\]

Answer 3

which is same as\[\frac{ a+4\sqrt{ay}+4y }{ a-4y }\]