  The temperatuer dependence of the magnetic penetration depth of grain aligned
YBa2Cu4O8 has been measured along the ab plane and c-axis. Both $\lambda_ab$
and $\lambda_c$ vary as \sqrt{T} up to 0.4Tc implying a square root density of
states at low energy. The results are discussed in terms of a proximity model
of alternating stacked superconducting and normal layers
