Q12. - Algebra 2

Question

Name the sets of numbers to which each number belongs.

$\sqrt{\mathbf{64}}$

Step-by-Step Solution

Answer

Natural numbers, Whole numbers, Integers, Rational numbers and Real numbers.

Step 1 – Description of step.

Natural numbers consist of positive integers from one to infinity.

 

Whole numbers consist of positive integers including zero.

Step 2 – Description of step.

Rational numbers are the numbers expressed in terms of $\frac{p}{q}$ where $p \text{and }q$ are integers and $q\ne 0$.

 

Integers consists of zero, positive numbers and negative numbers without decimals and fractions.

 

All numbers that we see in everyday life are real numbers.

Step 3 – Description of step.

From step 1 and step 2 it can be concluded that $\sqrt{64}$ belongs to set of natural numbers, whole numbers, integers, rational numbers and real numbers.