Question

Rationalize the denominator and simplify.
https://media.glynlyon.com/g_alg02_ccss_2013/7/q11172.gif

Answer 1

\(\frac{\sqrt { 6 } }{ \sqrt { 5 } - \sqrt { 3 }}\) = \( \frac{\sqrt { 6 } \times (\sqrt { 5 } + \sqrt { 3 }) }{ (\sqrt { 5 } - \sqrt { 3 })\times(\sqrt { 5 } + \sqrt { 3 })} \) \( = \frac{\sqrt { 30 } + \sqrt { 18 }}{ 5-3}\) \(=\frac{\sqrt { 30 } + \sqrt { 18 }}{2}\)

Answer 2

@texaschic101