Can someone help me with this radical expression please?

The problem is: √120x^5y^4
So far I've got:
√2*√60*√x^4*√x*√y^4
√2*√60*x^2*√x*y^4
= 2x^2y^2√60x

Is my answer correct

√(120x^5y^4)

√4√30 √x^4√x √y^4
= 2x^2y^2 √(30x)

You were close, but changed a √2 to 2.