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

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

Expert Solution

Colby Messinger answered 2 years ago

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