Yes, it could. But for school-level mathematics it is usual to rationalise denominators.
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when there is no radical in the denominator
Rationalising the denominator.
It is called rationalisation [of the denominator].
It is called rationalising the denominator.
It isn't clear what, exactly, you want to achieve. To write a fraction in standard form, it is customary to leave no radical in the denominator; in this case, for example, if you have square root of 2 in the denominator, you would multiply top and bottom by square root of 2, precisely to get rid of the radical in the denominator.