just wanted to know if this is a correct substitution,

we are given kinetic energy, and want the debroglie wavelength, that eq is lamba = h / p.

= h/ mv

Momentum in terms of KE:

1/2 m (p/m)^2
1/2 m p^2/m^2

KE = p^2/2m
so...
mv can be substituted as squareroot (2*m*KE) in the h/mv eq making it h/(2*m*KE)^1/2 ?