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Is there a standard term for $\mathbb{Q}[\sqrt{2}]$? I say it as "Q adjoin root two".

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    And you could say: "Q square-bracket radical two"2011-09-10

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We can say it as generated by $\sqrt 2$ ,but the pronunciation that you mentioned is the accurate and correct pronunciation ,i.e "$\mathbb{Q}$ adjoin $\sqrt 2$" is perfect and apt pronunciation adapted by major mathematicians

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    @GEdgar In your previous comment you wrote that $a$ is algebraic which was the reason for my question.2011-11-26