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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.
What else can I help you with?
Is the square root of a irrational number always rational?
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.
Is the square root of 8 over 25 rational irrational or a real number?
The square root of 8 over 25 is irrational, and real.
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
Can multiplying two irrational numbers give you an 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)
Is the square root of 26 a rational number or irrational number?
the square root of 26 is a irrational number
Is the square root of a irrational number always rational?
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.
Is the square root of 16 over 5 rational or irrational?
The square root of (any number that isn't a perfect square) is irrational.
Is the square root of 8 over 25 rational irrational or a real number?
The square root of 8 over 25 is irrational, and real.
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
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 the square root of 27 a rational or irrational number?
The square root of 27 is an irrational number
Can multiplying two irrational numbers give you an 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)
Is the square root of 26 a rational number or irrational number?
the square root of 26 is a irrational number
Is they sqare root of 94 irrational or irrational?
The square root of 94 is an irrational number
Is the square root of 121 an irrational number?
The square root of 121 is 11 which is not an irrational number.
Is the square root of 71 a rational number or irrational?
The square root of 71 is an irrational number
Is the square root of nine an irrational number?
The square root of nine is three, and that is not an irrational number.
