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.
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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.
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 47 is an irrational number.