How deep should our colony be on the Moon/Mars?

I am a staunch believer that any near-future permanent colony on the Moon or Mars should be built underground, at least the living spaces, due to the harmful effects of radiation.

What is the gradient (or is there a rule of thumb) for depth beneath the surface that we should build the habitats for living, if the powers-that-be agree with me?

In essence, what depth will shield our colonists and to how much? This is about living space and depth, not about plants, operations, or geographical location of where to colonize first.

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How deep should our colony be on the Moon/Mars?

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