It is irrational.
133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
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They are +5 and -5, which are both rational.
The square root of 37 is an irrational number
The square root of 128 is an irrational number.
The square root of 155 is an irrational number.
Yes, because when x equals 1, the square root of x is rational and the square root of -x is irrational, and when x equals -1, the square root of x is irrational and the square root of -x is rational.