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We present high-resolution observations of a sample of 75 K2 targets fromCampaigns 1-3 using speckle interferometry on the Southern AstrophysicalResearch (SOAR) telescope and adaptive optics (AO) imaging at the Keck IItelescope. The median SOAR $I$-band and Keck $K_s$-band detection limits at 1"were $\Delta m_{I}=4.4$~mag and $\Delta m_{K_s}=6.1$~mag, respectively. Thissample includes 37 stars likely to host planets, 32 targets likely to beeclipsing binaries (EBs), and 6 other targets previously labeled as likelyplanetary false positives. We find nine likely physically bound companion starswithin 3" of three candidate transiting exoplanet host stars and six likelyEBs. Six of the nine detected companions are new discoveries; one of the six,EPIC 206061524, is associated with a planet candidate. Among the EB candidates,companions were only found near the shortest period ones ($P<3$ days), which isin line with previous results showing high multiplicity near short-periodbinary stars. This high-resolution data, including both the detected companionsand the limits on potential unseen companions, will be useful in future planetvetting and stellar multiplicity rate studies for planets and binaries.

Planet Hunters X: Searching for Nearby Neighbors of 75 Planet and Eclipsing Binary Candidates from the K2 Kepler Extended Mission