Is the square root of 50 a rational or irrational?

Answer 1

The square root of 50 is an irrational number.

Irrational Numbers are real numbers that cannot be expressed as a fraction a/b where a and b are integers and b is non-zero. Rational numbers are numbers that can be expressed as a fraction a/b where a and b are integers and b is not zero. The square root of 50 is approximately 7.071067812, which cannot be expressed as a fraction of integers. For example, the square root of 50 is between 7 and 71/100, but even (707110/100000)2 is approximately 50.00045521, which is still not quite 50.