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Rationalisation (mathematics) : ウィキペディア英語版
Rationalisation (mathematics)

In elementary algebra, root rationalisation is a process by which surds in the denominator of an irrational fraction are eliminated.
These surds may be monomials or binomials involving square roots, in simple examples. There are wide extensions to the technique.
== Rationalisation of a monomial square root and cube root ==

For the fundamental technique, the numerator and denominator must be multiplied by the same factor.
Example 1:
: \frac:
: \frac}
The square root disappears from the denominator, because it is squared:
: \frac} = \frac
This gives the result, after simplification:
: \frac}
Example 2:
: \frac^2:
: \frac^2} = \frac
The cube root disappears from the denominator, because it is cubed:
: \frac = \frac
This gives the result, after simplification:
: \frac

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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