Drain your soaked nuts and give them a few rinses with fresh water.
Put all ingredients into a high-powered blender. Blend on low for 1 minute. Blend for an additional 2-3 minutes. The more powerful your blender the quicker it will make the milk.
Put your cheesecloth, fine-mesh sieve, or nut milk bag over a large bowl or container. Squeeze out excess milk over your bowl or container. This can take a bit of time and strength to get all the milk squeezed out.
Pour into a glass jar and store in the refrigerator.