Question

Is -√127 rational or irrational?

Answer 1

Irrational

Explanation:

A rational number can be expressed as a ratio of two integers , p and q of the form \[\frac{p}{q}\]

So following are examples of rational numbers:

• \[\frac{1}{2}\] is a rational number

• \[\frac{3}{4}\] is a rational number

• 2 is a rational number as it can be expressed as \[\frac{2}{1}\]

On the other hand , any number which cannot be expressed in this form is called an irrational number. For example:

• \[\sqrt{2}\]

• \[\sqrt{3}\]

• \[-\sqrt{127}\]