Determine if √51 is rational or irrational and give a reason for your answer!

Answer 1

√51 is an irrational number. This is because √51 cannot be expressed as a fraction or ratio of two integers. If it were a rational number, it could be written in the form a/b, where a and b are integers and b is not equal to 0. However, when we calculate the square root of 51, we get a non-recurring and non-terminating decimal (√51 ≈ 7.1414...). Since it cannot be expressed as a fraction, it is clear that √51 is an irrational number.