Bottom of the fraction is known as the denominator, and there are numbers like 2 or 3. However, sometimes the denominator can be irrational root. So that the equation can be in its simplest form, it should not be irrational. You should fix this by making the denominator rational, and this is what it is known as rationalizing of the denominator. When the denominator is irrational, it still works, however, this is not simplest form, and it may cost the marks if you are a student. Removing them will help in solving the problem, and this is why you have to know how it works.
Multiply the bottom and the top with a conjugate You can find another special way of moving the square root starting from the bottom to the top This is a special way of moving the square root starting from bottom to the fraction which is at the top. This is done by multiplying the bottom and the top using a conjugate of a denominator. A conjugate is a place where the sign of in a middle of two terms has been changed. When the number is multiplied using the conjugate, they lead to its square number.
The denominator should never contain the radical, or it will be wrong depending on the level you are on. Rationalizing helps in getting the right answer. You should try everything you can so that you may find the fraction in which the denominator has rational denominator only. After rationalizing a denominator, you have to check so that you can see that after rationalizing, there will be nothing else that you may simplify.
There is some math in Calculus, and they do take advantage in rationalizing denominator or the numerator. However, rationalizing denominator is important to know before someone can start to learn calculus. Learning the skills needed to rationalize the denominator, is important since it helps to simplify and to evaluate the expression. This is during the period when there were no online calculator needed for doing arithmetic. After rationalizing the equation, it becomes easier in computing without any extra tool. However, through using a powerful calculator, it is no longer required to rationalize the denominator since it is a simple way of doing the arithmetic computation. However, even if the student may be using the calculator, he should be aware of the needed skills to use when there is no calculator around. Rationalize denominator is required in precalculus and in calculus topic in some case, there may be a need to rationalize a numerator of the fraction.
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