Chapter 1.3, Problem 2STP

For Exercises $1-6,$ choose the correct letter.

To which subset of the real numbers does $\sqrt{2}$ belong?

F. irrational

G. Rational

H. Integer

I. whole

To determine

To choose the correct option: to which subset of the real numbers does $\sqrt{2}$ belong?

A.Irrational G. rational H. integer I. whole

Answer to Problem 2STP

F

Explanation of Solution

Given:

The real number: $\sqrt{2}$

Consider,

  $\sqrt{2}=\mathrm{1.414213...}$

Since the decimal notation of $\sqrt{2}$ is non-terminating and non-repeating, so is an irrational number.