Rationalization is a process of converting an irrational number into a rational number, which is one which can be expressed as the ratio of two integers. The numbers 1.003, -11⁄3, and 22/7 are all rational numbers. Irrational numbers are those that cannot be so expressed.
What Does The Root Word In Rationalize Mean?
The word rationalize comes from the combination of the words rational and -ize and means “to explain in a rational fashion” or “to render conformable to reason.”
What Does It Mean To Rationalize In Math?
In the context of elementary algebra, the term “root rationalisation” refers to a process that involves removing radicals from the denominator of an algebraic fraction.
What Is Rationalize And Example?
To rationalize anything means to make an attempt to justify it or to make an excuse for inappropriate action or an unfavorable outcome. One example of a situation in which you rationalize your behavior is one in which you take money from your pals but excuse it by saying that they are spoiled and won’t notice that the money is gone. This is an example of a situation in which you rationalize your behavior.
How Do You Rationalize In Math?
Therefore, in order to rationalize the denominator, we need to remove all of the radicals that are now contained within it.
First, multiply the numerator and the denominator by a radical that will eliminate the radical that is in the denominator…
The second step is to make sure that all of the radicals have been simplified…
Step 3: Simplify the fraction if you feel it is necessary to do so.
What is rationalized form?
In order to rationalize the denominator, we will first need to eliminate all of the radicals that are now included in it.
Step 1: Multiply both the numerator and the denominator by a radical that will eliminate the radical in the denominator… Step 2:
Step 2: Ensure that all of the radicals have been reduced to their simplest forms…
Step 3: Simplify the fraction if doing so makes sense.