Chapter 9, Problem 17MCQ

To determine

Tofind:If the given number is rational or irrational

Answer to Problem 17MCQ

Rational

Explanation of Solution

Given information:

  $\frac{\sqrt{9}}{2}$

Concept Used:

While solving a fraction, root or any numerical expression, if the final value is a terminating or repeating decimal, the expression is said to be rational but if the final value is nonterminating decimal, the expression is said to be irrational

Calculation:

Let’s simplify the given fraction-

  $\begin{array}{l}\frac{\sqrt{9}}{2}\\ =\frac{\sqrt{3·3}}{2}\\ =\frac{\sqrt{3^2}}{2}\\ =\frac{3}{2}\\ =1.5\end{array}$

As $1.5$ is a terminating decimal, therefore, $\frac{\sqrt{9}}{2}$ is rational.