No. Square roots of whole numbers that don't result in whole numbers (e.g. the square root of 64 is 8), are considered to be "Irrational Numbers".
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No
No, it is not.
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
irrational
is the square root of 3 rational