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This question has no solution.

We have to begin somewhere.

Let us assume that "the first 5" starts from zero,.

Zero is rational, so the first irrational must be above zero.

How far above zero ?

You choose.

You construct an irrational just above zero and call that the first.

Tell me what it is and I'll guarantee to construct one smaller than that but still above zero.

Then someone else will find one smaller than mine.

Little fleas have lesser fleas upon their backs to bite 'em

And lesser fleas have smaller fleas, and so on ad infinitum.

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Q: What is are the first 5 irrational numbers?
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