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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 1
No - 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.)
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How do you find an irrational square root?
An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.
Is square root of -11 rational number?
The square root of negative 11 is an imaginary number, i.e., sqrt(-11) = sqrt(11) i where i is the imaginary unit = sqrt(-1). sqrt(11) is indeed irrational. In fact, the square root of any integer which is not a power of two is irrational.
What is the square root of 11 to the nearest whole number?
3 because the square hypotenuse of the root would equal the same as both digits added together plus 1 (1+1+1). I sure hope this helps you :)
Is a square root a rational number?
A square root is considered a rational number if the number inside the square root sign is a perfect square. In other words, if the square root of a number results in a whole number, then it is a rational number. For example, the square root of 9 is 3, which is a whole number, making it a rational number. However, if the square root results in a non-terminating, non-repeating decimal, then it is considered an irrational number.
Is square root 11 an integer or fraction?
Answer: Mixed number Answer: It is neither, in the sense that you can't write the square root of any positive integer (except for the square root of perfect squares) exactly as a fraction. You can only approximate it. In other words, it's an irrational number.
What is the square root of 125 nearest whole number?
11 is the square root
What is the square root of 116 to the nearest whole number?
It is ±11.
What whole number has a square root between 11 and 12?
130
Is 118 a square number?
The square root of 118 is not a whole number - the closest square number to 118 is 121 - which is 11 squared.
What is the square of a whole number 121 85 154 143?
121 is the square root of 11
Estimate 11 - Square root of 22 to the nearest whole number?
-11
In 11 a square number?
No. A square number is one that has an integral as its square root. For example, 9 is a square number because 3 x 3 = 9. There is no whole number that gives you 11 when multiplied by itself.
Does a square root have to be a whole number?
No, a square root doesn't have to be a whole number. The square root of 2.25 is 1.5. It could be said that most square roots are not whole numbers. Take just the first few integers (counting numbers). Find the square roots of the numbers 1 through 10 and you'll find three of the numbers have whole number square roots (1, 4 and 9). The other seven don't. For the numbers 11 through 20, there is only 1 number with a whole number square root (16).
Is -11 square root not a real number?
The square root of a negative number is a multiple of the imaginary number i, the accepted form of the square root of -1, so the square root of -11 is sqrt11 times i.
What is the square root of 121 and how do you find it?
The square root of 121 is the number which multiplied by itself will give 121, the answer is 11. (11*11=121). we write 11*11 as 112 thus if 112 = 121, then the square root of 121 or √121= 11 as you can see a square root of a number is the opposite of the square of a number
What whole number does the square root of 127 lie between?
11² = 121 12² = 144 ■
What is the whole number boundaries of square root 117?
-11 < sqrt(117) < -10 and 10 < sqrt(117) < 11
