1) Depending on how thin and smooth (or bumpy) the skin is, you may need to peel all of the skin off (this is what will cause most of the gas when you eat it). If it's pretty thin and smooth, I'll just "stripe" the skin with my vegetable peeler (which gives it a pretty look).
2) Cut the cucumber in half lengthwise. Then use a melon baller to take out the seeds (photo above).
It should now be as "burp-less" as the more expensive English hothouse cucumbers, and ready to use in all your cucumber salads and veggie platters.
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You can search by keyword " cucumber " for all of my cucumber recipes here too.