Respuesta :

Answer:

6√5/25 = 6√5/(√5)^4 = 6/(√5)^3 (invalid)

30/√5 = 6*(√5)^2/(√5) = 6√5 (invalid)

36/√30 =  6*(√6)^2/(√5*√6) = 6√6/√5 (invalid)

6√5/5 = 6√5/(√5)^2 = 6/√5 (valid)

Answer:

[tex]$\frac{6\sqrt{5} }{5} $[/tex]

Step-by-step explanation:

Which expression is equal to [tex]$\frac{6}{\sqrt{5} } $[/tex]?

Rationalizing denominator:

[tex]$\frac{6}{\sqrt{5} }\cdot \frac{\sqrt{5} }{\sqrt{5} }=\frac{6\sqrt{5} }{5} $[/tex]