No, the square root of 34 is not a rational number.
To understand why, we first need to define what a rational number is. A rational number is any number that can be expressed as the quotient or fraction a/b of two integers, where a is the numerator, b (the denominator) is not zero, and both a and b are integers.
The square root of 34 is an irrational number because it cannot be simplified into a fraction of two integers. It is approximately equal to 5.831, which goes on infinitely without repeating. This non-repeating, non-terminating decimal indicates that it does not fit the definition of a rational number. In fact, the square roots of non-perfect squares (like 34) are always irrational.