Why Is Rationalising Factor?

Maya Lin-Takahashi
Maya Lin-Takahashi
• • 4 min read

The Factor of Multiplication by Which Rationalization Is Done, Is Called as Rationalizing Factor. If the Product of Two Surd Surd in Mathematics, an Nth Root...

Why Is Rationalising Factor?

The factor of multiplication by which rationalization is done, is called as rationalizing factor. If the product of two surd

surd
In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x: where n is a positive integer, sometimes called the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root.
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s is a rational number, then each surd is a rationalizing factor to other. Like if √2 is multiplied with √2, it will 2, which is rational number, so √2 is rationalizing factor of √2.

What is the rationalization factor?

Rationalising factor: The factor of multiplication by which rationalization is taken, that factor is called as rationalizing factor. If the product of two irrational numbers or surds is a rational number, then each surd is a rationalizing factor for each other.

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Why is rationalize important?

Rationalizing the denominator (RTD) (a special case of the method of simpler multiples) is useful because it often serves to simplify problems, e.g. by transforming an irrational denominator (or divisor) into a simpler rational one. This can lead to all sorts of simplifications, e.g. below.

Maya Lin-Takahashi

Maya Lin-Takahashi

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Maya is a hardware enthusiast who tests and reviews smart home devices, smartphones, wearables, and audio gear. She focuses on practical consumer value and build quality.