Sprout
Middle English: of West Germanic origin; related to Dutch spruiten and German spriessen .
wiktionary
From Middle English spruten, from Old English sprūtan, from Proto-Germanic *spreutaną. Doublet of spruit.
etymonline
sprout (v.)
Old English -sprutan (in asprutan "to sprout"), from Proto-Germanic *sprut- (source also of Old Saxon sprutan, Old Frisian spruta, Middle Dutch spruten, Old High German spriozan, German sprießen "to sprout"), from PIE *spreud-, extended form of root *sper- "to strew" (perhaps also the source of Old English spreawlian "to sprawl," sprædan "to spread," spreot "pole;" Armenian sprem "scatter;" Old Lithuanian sprainas "staring, opening wide one's eyes;" Lettish spriežu "I span, I measure"). Related: Sprouted; sprouting.
sprout (n.)
"shoot of a plant, sprout; a twig," Old English sprota, from the verb (see sprout (v.)). Cognate with Middle Dutch spruyte, Dutch spruite "a sprout," Old Norse sproti, German Sproß.