1 Answer. The square root pf a number can be simplified only if the number is divisible by a perfect square (other than 1). √12 can be simplified because 12 is divisible by 4 -- a perfect square. But 6 is not divisible by a perfect square, so √6 cannt be simpified further.
The square root of 6 is expressed as √6 in the radical form and as (6)½ or (6)0.5 in the exponent form. The square root of 6 rounded up to 7 decimal places is 2.4494897. It is the positive solution of the equation x2 = 6.
A person might account for a bad mood or general rude behavior by explaining that bad traffic affected the morning commute, for example. Someone who is passed over for a promotion might rationalize the disappointment by claiming to not have wanted so much responsibility after all.
transitive verb. : to bring into accord with reason or cause something to seem reasonable especially : to attribute (one's actions) to rational and creditable motives without analysis of true and especially unconscious motives he tried to rationalize his cruel behavior.
We rationalize the denominator to ensure that it becomes easier to perform any calculation on the rational number. When we rationalize the denominator in a fraction, then we are eliminating any radical expressions such as square roots and cube roots from the denominator.
Do you always need to rationalize the denominator?
Explanation: Technically no. The general reason why it is desirable, is to have a standard form. If for example you look a trig ratios that have radicals, these are given with rationalized denominators, so it makes it easier to recognize these ratios when you rationalize the denominator in your calculations.
What is an example of rationalization and reason it might occur?
Explanation. Rationalization is a process whereby an individual seeks to explain an often unpleasant emotion or behavior in a way that will preserve self-esteem. An example will be when a person got rejected in a singing audition and to rationalize, the person would reason that his nervousness got in the way.
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
The first square number is 1 because 1 × 1 = 1 . The third square number is 9 because 3 × 3 = 9 , and so on. The first fifteen square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 and 225.