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.
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
2.75 as an improper fraction is 11/4 2.75 as a mixed number is 2 and 3/4
Yes, the square root of 121 is 11
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
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!
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.
The square root of 137 is not an integer and so does not.
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 11 is irrational. An irrational number is a number that cannot be expressed as a simple fraction or ratio of two integers. In the case of the square root of 11, it is a non-repeating, non-terminating decimal and cannot be simplified further. Therefore, it falls under the category of irrational numbers.
Square root of 5 = ± 2.236068Square root of 11 = ± 3.316625