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How do you know if a number rational or irrational?
If it can be expressed as a ratio of two integers, p and q (q not 0) then it is rational. Except in some trivial cases, it is not easy to know if a number is not rational - and is therefore irrational.
Can the square of an irrational number be rational?
The answer to this question confuses me. The square root of two is an irrational number, so obviously if the square root of two is squared it becomes two which is a rational number. Thinking of it that way then the answer is yes, the square of an irrational number can be a rational number. But . . . You had to know beforehand that the irrational number was the square root of another number. If you start out with an irrational number such as Pi you cannot square it because you cannot know the entire number in order to square it.
Is pi an irrational or rational number How do you know?
Pi is an irrational number. Johann Heinrich Lambert proved that in the late 18th Century.
Is 1.1 rational or irrational?
Rational!!!! Casually, any decimal that can be converted to a fraction/ratio is Rational. 1.1 = 1 1/10 = 11/10 Irrational numbers are those that cannot be converted to a fraction/ration. The most well known IRRATIONAL number is 'pi = 3.141592....' Irrational numbers are those were the decimals go to infinity AND the decimal digits are not in any regular order. Rational ; 1/3 = 0.3333.... Irrational ; sqrt(2) = 1.414213562....
How do you know if a square root is rational or irrational?
For a start, the square root of any integer is either an integer, or an irrational number.
