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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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Q: A short note on square root of rational number?

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Every integer (note spelling) is a rational number.

Yes, just look at decimals. Note: integers are a subset of rational numbers.

Yes, all whole numbers (integers) are rational. Please note though that not all rational numbers are integers.

The square root of 22 is NOT a rational number. There is no integer which when multiplied by itself gives 22. Thus, it is not a perfect square. A number is a rational number if it is the quotient of two integers. :)

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.

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. )

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...

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.

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.

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.

short note on cyclones

A rational number is any number that can be made by dividing oneinteger by another.0.5 is a rational number as it can be made by dividing the number 1by 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 by10---------------------------------------------------------Note there are number that are called irrational numbers.Irrational numbers are all "real" numbers (numbers with a decimalpoint) that cannot be written as a simple fraction - the decimalgoes 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.

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.

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Zero, since there are infinitely more irrational numbers than rational numbers. Note that "zero probability" is not the same as "impossible" in this case. For more details, see the Wikipedia article on "Almost surely".

A number multiplied by itself produces a square number. The original number is the square root of a square. So, the square root of 17.4 which is written as √ 17.4 = ±4.1713 (4dp) NOTE : The answer can be +4.1713 or -4.1713 as each number when squared (multiplied by itself) produces the positive number 17.4

No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 Â¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed 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.