Yes
in fact the root of all prime numbers is irrational.
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Irrational. The square root of a positive integer is either an integer, or an irrational number.
The square root of 94 is an irrational number
The square root of 0.144 is an irrational number
The square root of 12 is an irrational number
The square root of 12 is an irrational number