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.
The original number
Yes. The square root of any whole number that is not a perfect square is irrational.
The square root of 110 is an irrational number and so it cannot be any two whole numbers.
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.
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.
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.
Any number that is not a perfect square.
Yes. The square root of any whole number that is not a perfect square is irrational.
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
The square root of 110 is an irrational number and so it cannot be any two whole numbers.
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.
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.
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.
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.
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.
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.
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.
Any number can be a square root.