Let ?∈ℕ, and assume √? is irrational. Show that ℚ(√?)={?+?√?∶?,?∈ℚ} is a field (show that there...

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Advance Math

Let ?∈ℕ, and assume √? is irrational. Show thatℚ(√?)={?+?√?∶?,?∈ℚ} is a field (show that there is multiplicativecommutativity and multiplicative inverse). What would change if ℚwas replaced with ℝ.

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