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Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational.
However, 1/2 and 2 are rational, but their square roots are irrational.
We can say the square root of a rational number is always a real number.
We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.
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What is an integer that is a rational number?
Every integer (note spelling) is a rational number.
Is the square root of 22 a rational number?
No, in fact unless an integer has an integral square root, the square root is always irrational. Note that some rational fractions can have rational square roots, though. Example: sqrt(4/9) = sqrt(4)/sqrt(9) = 2/3, which is rational. Or sqrt(9/16) = 3/4
Why is a whole number rational?
Yes, all whole numbers (integers) are rational. Please note though that not all rational numbers are integers.
Can a number be a rational number and not an integer?
Yes, just look at decimals. Note: integers are a subset of rational numbers.
Is decimal a rational number?
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
Why do the 0.333 is a rational number?
0.333. is a rational number for it may be found as the ratio of two numbers. In this case, 1/3. (note the superscript . indicating a repeating decimal. )
Is 0.245245245... a rational number?
Any number that repeats the same sequence of digits over and over again is rational. Note that it need not start with the repeated sequence of digits; the repetition may start after a certain point; such a number would also be rational, for example 0.88204204204204204...
Is 3.1415 a rational or irrational number?
3.1415 is rational (as are all other terminating decimals). Note that these are some of the first few digits of pi (3.14159…, which really should be rounded to 3.1416 not 5); pi is an irrational number. Approximations of pi are generally rational numbers.
How do you find how to square a number to find an area?
To square a number, multiply the number by itself.Example: The square of 6 is (6 times 6) = 36.Note: This gives you the area only if the figure is a square.
Is 0.28764 rational or irrational?
A rational number is one that can be represented as the ratio of two numbers - in other words, it can be written as a fraction. Note that integers (whole numbers) are rational numbers as they can be shown with a denominator of one. For example, 5 = 5/1 : 29 = 29/1. Any decimal number that terminates is a rational number : 0.28764 = 28764/100000 which can be "simplified" to 7191/25000.
What numbers are rational numbers?
A rational number is any number that can be made by dividing one integer by another.0.5 is a rational number as it can be made by dividing the number 1 by the number 22 is a rational number because it can be made by dividing 2 by 1-6.6 is a rational number because it can be made by dividing -66 by 10---------------------------------------------------------Note there are number that are called irrational numbers. Irrational numbers are all "real" numbers (numbers with a decimal point) that cannot be written as a simple fraction - the decimal goes on forever without repeating.For instance the number Pi is an irrational number.A rational number is a real number that can be expressed as a ratio of two integers. Another way to think about it is this: if you can write a number as a fraction then it's a rational number.
How can you get an irrational number?
For example, by taking the square root of any positive integer, except a perfect square. Thus, the square root of 2, 3, 5, 6, 7, 8, 10, 11, etc. are all irrational. You can also make up a rule to write a number in decimal, that does not involve a regular repetition. Note that, for example, 5.4871313131313... (repeating "13" forever after that) is rational. However, if you write, for example, 0.1010010001000010000010000001... (adding one more zero each time) will give you an irrational number, since all rational numbers will repeat the same sequence of digits over and over eventually.
