Question

Please help with the difference between irrationals and rationals. It's a little confusing to me.

Answer 1

Explanation:

Rational means it can be written as a ratio of integers.

Examples of rational numbers are:

Fractions of integers (ex, 5/4)

Terminating decimal (ex, 7.3 = 73/10)

Repeating decimal (ex, 0.0111... = 1/90)

Square roots of perfect squares (ex, √100 = 10/1)

Irrational numbers can't be written as a ratio of integers.

Examples of irrational numbers are:

Non-repeating, non-terminating decimals (ex, π)

Square roots of non-perfect squares (ex, √2)

Answer 2

Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.

Explanation: