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The square root of a positive whole number, N, is a number which, when multiplied by itself equals N. If N = 0 then the square root is also 0. If N is greater than 0 there will be two such numbers: one positive and the other its negative equivalent. If N is a perfect square the square roots will, themselves, be whole numbers. Otherwise, they will be Irrational Numbers.
If N is a whole number less than 0 then there are no real square roots. Although there are square roots in the complex field, the fact that you ask this question is indicative that you are not yet ready to tackle complex numbers.
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Is the square root of 82 irrational?
Yes. The square root of any whole number that is not a perfect square is irrational.
What two whole numbers is square root of 110?
The square root of 110 is an irrational number and so it cannot be any two whole numbers.
What is a rational number whose square root is a whole number?
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
Is the square root of any whole number an integer ar an irrational number?
Some square roots of whole numbers are integers, some of them are irrational numbers. The square root of four for instance is a rational number, 2. The square root of two however is an irrational number, approximately 1.414211356.
Is the square root of 14 rational or irrational number?
Search for the proof for the irrationality of the square root of 2. The same reasoning applies to any positive integer that is not a perfect square. In summary, the square root of any positive integer is either a whole number, or - as in this case - it is irrational.
What does not results in a whole number when you take the square root?
Any number that is not a perfect square.
Is the square root of 82 irrational?
Yes. The square root of any whole number that is not a perfect square is irrational.
Is there a square root of two?
yes...it is 1.41421356try it on a calculatorEvery positive number has a square root. In fact,every positive number has two of them.There is a square root of any number, but the square root of most numbers is not a whole round number. The square root of 2 is 1.41421
What two whole numbers is square root of 110?
The square root of 110 is an irrational number and so it cannot be any two whole numbers.
What is a rational number whose square root is a whole number?
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
Is the square root of any whole number an integer ar an irrational number?
Some square roots of whole numbers are integers, some of them are irrational numbers. The square root of four for instance is a rational number, 2. The square root of two however is an irrational number, approximately 1.414211356.
Is the square root of 4 irrational or rational?
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.
What is the square root of 4086248736408 and is it rational?
Here is a website with a method for determining the square root of any number: http://www.jimloy.com/arith/sqrt.htm Using a calculator, the closest square root of 4086248736408 to 8 significant digits is 2021447.2. You need to use the method referenced in the URL to find the answer to additional significant digits. If the answer can be divided by any whole number and the result is a whole number, then the square root is a rational number.
Is the square root of 14 rational or irrational number?
Search for the proof for the irrationality of the square root of 2. The same reasoning applies to any positive integer that is not a perfect square. In summary, the square root of any positive integer is either a whole number, or - as in this case - it is irrational.
Is the square root of 97 rational or irrational?
The square root of ANY positive integer is either a whole number, or an irrational number. Only the perfect squares have whole number square roots; all the rest are irrational. 97 is not a perfect square therefore √97 is irrational.
What is the square root located between 8 and 9?
The square root of any number between 64 and 81.The square root of any number between 64 and 81.The square root of any number between 64 and 81.The square root of any number between 64 and 81.
Is the square root of 11 a whole number?
It is true that the square root of a prime number like 11 is never a whole number. But to say that that has never been proven is incorrect. The square root of any positive integer that is not a square number (the square of an integer) is always irrational, and that is relatively easy to prove. To prove that prime numbers are not square numbers is even easier. That is basically true by definition. If a number greater than 1 were a square number, its square root would be a factor other than 1 and itself; therefore, it would not be a prime number.Answer 1No - the square root of 11 is not a whole number. 11 is prime so it has no factors except itself and 1, anyways.Any prime number has no square root that is a whole number or integer. (That postulate has not been proven, but it has not been disproven so it is accepted as true.)
