Chapter 1: Q2. (page 14)

Explain why $\frac{\sqrt{3}}{2}$ is not a rational number.

Short Answer

Expert verified

$\frac{\sqrt{3}}{2}$ is not a rational number because $\sqrt{3}$ is not an integer.

Step by step solution

- Define rational number.

The set of rational number has numbers in the ratio form $\frac{m}{n}$ , where m and n are integers and n is non-zero. The decimal form of a rational number is either a terminating or repeating decimal

- Substitution in given values

Substitute m for $\sqrt{3}$ and n for 2 in given term.

Now it becomes $\frac{m}{n}$

- Check 32 satisfies definition of rational number or not

For rational number in the form $\frac{m}{n}$ , $m and n$ are integers and n is non-zero.

Since, $\sqrt{3}$ is not an integer.

Thus, $\frac{\sqrt{3}}{2}$ is not a rational number.

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Explain why $\frac{\sqrt{3}}{2}$ is not a rational number.

Short Answer

Step by step solution

- Define rational number.

- Substitution in given values

- Check 32 satisfies definition of rational number or not

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Explain why 32 is not a rational number.

Short Answer

Step by step solution

- Define rational number.

- Substitution in given values

- Check 32 satisfies definition of rational number or not

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Mechanics Maths

Discrete Mathematics

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Explain why $\frac{\sqrt{3}}{2}$ is not a rational number.