Chapter 9.4, Problem 16E

To determine

Whether the number is rational or irrational

Answer to Problem 16E

Irrational number

Explanation of Solution

Given:

The given term is

  $\sqrt{\frac{16}{5}}$

Calculation:

Rational numbers: It is the set of all the real numbers which can be written in the fraction form

Irrational numbers: It is the set of all the real numbers which cannot be written in the form of fraction. They are the non-terminating and non-repeating decimal numbers

As the given number is

  $\begin{array}{l}=\sqrt{\frac{16}{5}}\\ =\sqrt{3.2}\\ =\mathrm{1.788854381999...}\end{array}$

It is anirrational number