The square root of 10 is not a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since 10 is not a perfect square, its square root cannot be expressed as a simple fraction, and it is an irrational number.
To understand why, consider that the square root of 10 is approximately 3.162277660168379, and this decimal representation neither terminates nor becomes periodic. Non-terminating, non-repeating decimals are characteristic of irrational numbers. Therefore, the square root of 10 is irrational.