is the square root of 10 rational or irrational

Answer 1

The square root of 10 is an irrational number. A rational number can be expressed as a fraction of two integers (where the denominator is not zero), while an irrational number cannot be expressed in this way. The square root of 10 cannot be simplified into a fraction, and its decimal representation is non-repeating and non-terminating. Thus, \(\sqrt{10}\) is classified as an irrational number.