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Why do we need to rationalize the denominator?

The main reason for "rationalizing" denominators is that when we add fractions we have to get common denominators. And that is typically easier if there are no square roots in the denominators. However, there are times when we want to rationalize the numerator.

What does rationalizing the denominator mean?

Rationalizing the denominator is the process of moving any root or irrational number (cube roots or square roots) out of the bottom of the fraction (denominator) and to top of the fraction (numerator). The denominator is the bottom part of a fraction. This part of the fraction can not have any irrational numbers.


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