Theory
Rational numbers are numbers that can be expressed as a fraction of two integers. Irrational numbers are numbers that cannot be expressed as a fraction of two integers.
A repeating decimal is a decimal that has a repeating pattern of digits. For example, 0.333333... is a repeating decimal because the digit 3 repeats indefinitely. A non-repeating decimal is a decimal that does not have a repeating pattern of digits. For example, 0.123456789... is a non-repeating decimal because the digits do not repeat.
A rational number can be expressed as a fraction of two integers. For example, 1/2 is a rational number because it can be expressed as a fraction of two integers.
An irrational number cannot be expressed as a fraction of two integers. For example, π is an irrational number because it cannot be expressed as a fraction of two integers.
A square root is a number that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2 because 2 * 2 = 4.
A cube root is a number that, when multiplied by itself three times, gives the original number. For example, the cube root of 8 is 2 because 2 _ 2 _ 2 = 8.
A fourth root is a number that, when multiplied by itself four times, gives the original number. For example, the fourth root of 16 is 2 because 2 _ 2 _ 2 * 2 = 16.