Rationalisation (mathematics)
In elementary algebra, root rationalisation is a process by which radicals in the denominator of an algebraic fraction are eliminated.
If the denominator is a monomial in some radical, say with k < n, rationalisation consists of multiplying the numerator and the denominator by and replacing by x (if k ≥ n, the same replacement allows us to reduce k until it becomes lower than n.
![{\displaystyle a{\sqrt[{n}]{x}}^{k},}](https://wikimedia.org/api/rest_v1/media/math/render/svg/92ce24606365cfd1a0af4e2098cee705c602168a)
![{\displaystyle {\sqrt[{n}]{x}}^{n-k},}](https://wikimedia.org/api/rest_v1/media/math/render/svg/13fca5278ba221f0947e60f7c6c06349a5fe6f6e)
![{\displaystyle {\sqrt[{n}]{x}}^{n}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cb0221ad931ff4230e11e79fa9def1698311fd8d)
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