Chapter 0.2, Problem 11E

To determine

To find: The name of set to which the given number belongs.

Answer to Problem 11E

The name of set to which the given number belongs is rational positive integer.

Explanation of Solution

Given information:

The numberis $\sqrt{\frac{82}{40}}$ .

Calculation:

Consider the number.

  $\begin{array}{c}\sqrt{\frac{82}{40}}=\sqrt{\frac{2\times 41}{2\times 20}}\\ =\sqrt{\frac{41}{20}}\\ =\frac{\sqrt{41}}{2\sqrt{5}}\\ =\sqrt{2.05}\end{array}$

The number belongs to rational positive integer.