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Question: How do you get a polynomial that satisfies this condition

Question:How do you get a polynomial that satisfies this condition

jud 145 Maple 2022
polynomial degree
December 01 2022
0

If I want to get an irreducible polynomial with root sqrt(5) and minimum degree, I can use:

with(PolynomialTools):
MinimalPolynomial(sqrt(5), x)

But what if I want this irreducible polynomial of the minimum degree to have roots in both sqrt(2), sqrt(3), and sqrt(5)? How do I get this polynomial?

ps: The coefficients are all integers
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