No, it is not.
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No
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
The √49 is 7. It is a rational number.
It is a irrational number. Because the square root of every imperfect square is irrational number.
The negative square root of 49 is -7. -7 is whole, integer, and rational number. It's not a natural or irrational number.