The square root of 89 is an irrational number.
To explain this further, let’s consider what an irrational number is. Irrational numbers cannot be expressed as a simple fraction or ratio of two integers. Instead, their decimal expansion goes on forever without repeating. The square root of 89 specifically cannot be simplified to a whole number or a fraction.
Calculating the square root of 89 approximately gives us 9.434, which is a non-repeating, non-terminating decimal. Because of these characteristics, it is classified as an irrational number. In contrast, numbers like 4 or 9 are perfect squares and have whole number square roots.