Observations that deal with descriptions that cannot be expressed in numbers are called qualitative observations.
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They are called irrational numbers; numbers that can be expressed as a ratio of integers are called rational numbers. Some common irrational numbers are pi (3.14159...) and the square root of two.
The comparison of two numbers by division is called a ratio. For example, the fraction 3 over 2 can also be expressed as a 3 to 2 ratio.
ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
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Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.