It is always rational.
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.
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.
Pi is an irrational number. Johann Heinrich Lambert proved that in the late 18th Century.
1.1 is the ratio of 11 to 10. It's rational. rational comes from the word ratio, so if the number can be expressed as a ratio of one whole number divided by another whole number than it is a rational number. 11/10 is a rational number. when trying to decide if a number is rational or irrational (like on a test), often its hard to know right away if the number could be expressed as a ratio of two whole numbers. so here is another clue. an irrational number can never be written out entirely. not only does the number go on forever, but it goes on forever with a sequence of numbers that never repeats. so if you can write the entire number (like 1.01, or 1.000000001) or if the number repeats, (like .33 or .1428) then it is rational. in fact, if the number is written with a decimal point than you know its rational. because they cannot be written out entirely, irrational numbers have to be expressed as a square root of another number, or one number raised to a fractional power (any power that is not a whole number) all the rules summed up 1) number is a fraction (ei 1/3, 4/7, 16/2) - rational 2) number is written out (ei 1,2,3.0, 9.09, 1.00003) - rational 3) number is not completely written out but repeats (ei .33 or .1428) - rational 4) number is a square root of a square number (square numbers are 1,4,9,16,25,36,49, etc)- rational 5) number is a square root of a non-square number (non square numbers are all numbers except 1,4,9,16,25,36,49, etc)- irrational 6) number is rational number taken to a power that is a whole number - rational 7) number is any number taken to a power that is not a whole number - irrational
For a start, the square root of any integer is either an integer, or an irrational number.
If you can write the whole thing down on paper with digits, then it's rational.
rational
I dont know nerdsI sometimes wish that I knew only nerds.The answer is rational.
-52 is a rational number because it can be expressed as a fraction in the form of -52/1
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.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
For the people that are trying to figure out if its irrational or rational, its IRRATIONAL
2.64575 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
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.
The square root of 25 is 5. 5 is a rational number. A rational number is a whole integer, like 3 or 5 or -8. Also, 4.333333... is a rational number because we know exactly what the number is. We know the number is 4 and 1/3, nothing more, nothing less. An irrational number is a number that goes on and on, with no specific pattern. A famous irrational number is pi. 3.14159....... Another example would be 453.788192742917471085723.......... Or 2.10100100010000100000........
Pi is an irrational number. Johann Heinrich Lambert proved that in the late 18th Century.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.