Rationalising the denominator.
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It is called rationalisation [of the denominator].
It is called rationalising the denominator.
when there is no radical in the denominator
There is the Index, the coefficient and the Radican
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.