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.
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.)
An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.
square root of 108 is 11.4 which is between 10 and 11
Multiply both the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.Using 11, you will have the equivalent fraction 11/132.
Yes, the square root of 121 is 11
Well, let's think of this like a happy little math problem. The square root of 118 is between 10 and 11, because 10 squared is 100 and 11 squared is 121. So, the square root of 118 to the nearest integer is 11. Just a little math magic to brighten your day!
No because it will be an irrational number
I am assuming that you mean the square root, in which case, the answer is no. An integer is a whole number, no decimals and can be positive or negative.
1-1/2 or -11/2
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.
Yes. The square root of a fraction is the square root of the numerator over the square root of the denominator. First simplify the fraction (making mixed numbers into improper fractions). Now consider the numerator and denominator separately as whole numbers. Only perfect squares (the squares of whole numbers) have rational square roots. If either, or both, of the numerator and denominator is not a perfect square, the square root of the fraction will be irrational √(11/6) = (√11)/(√6). Neither 11 nor 6 is a perfect square, thus √(11/6) is irrational.
Since no integer multiplied by itself can yield 111, it is not a perfect square. 121, however, is a perfect square. Its square root is 11.
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.)
The square root of 137 is not an integer and so does not.
Square root of 5 = ± 2.236068Square root of 11 = ± 3.316625
A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.