Question

Which of the following values is not an irrational number? pi, the cube root of 48, 9.83 repeating where the 3 is repeating, and the square root of 80

Answer 1

9.8333333... is not irrational.

Explanation:

Irrational numbers are numbers that have decimal value that goes on forever (does not terminate) but also is not repeating. Pi and e are special, useful numbers that are irrational. And numbers that are cuberoot or squareroot that are not perfect squares or perfect cubes are also irrational.

The cuberoot of a perfect cube is an integer (not irrational) Like cubrt27 = 3

The squareroot of a perfect square is not irrational such as sqrt16 = 4.

If a number is rational (not irrational) it can be written as a ratio.

9.83333... is 59/6.

see image.