Question

Examine, whether the following number are rational or irrational:

`sqrt7`

Answer 1

A rational number can be expressed in the form p/q, where p and q are integers and q ≠ 0.

√7 cannot be written as a fraction of two integers.

Its decimal form is non-terminating and non-repeating: 

√7 ≈ 2.645751311...

Therefore, since it cannot be written as a fraction and its decimal goes on forever without repeating,
√7 is irrational.