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.
No, the square root of an irrational number is not always rational. In fact, the square root of an irrational number is typically also irrational. For example, the square root of 2, which is an irrational number, is itself irrational. However, there are exceptions, such as the square root of a perfect square of an irrational number, which can be rational.
The square root of 8 over 25 is irrational, and real.
It is a irrational number. Because the square root of every imperfect square is irrational number.
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
the square root of 26 is a irrational number
No, the square root of an irrational number is not always rational. In fact, the square root of an irrational number is typically also irrational. For example, the square root of 2, which is an irrational number, is itself irrational. However, there are exceptions, such as the square root of a perfect square of an irrational number, which can be rational.
The square root of (any number that isn't a perfect square) is irrational.
The square root of 8 over 25 is irrational, and real.
It is a irrational number. Because the square root of every imperfect square is irrational number.
An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.
The square root of 27 is an irrational number
the square root of 26 is a irrational number
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
The square root of 94 is an irrational number
The square root of 121 is 11 which is not an irrational number.
The square root of 71 is an irrational number
The square root of nine is three, and that is not an irrational number.