Q2. Explain why 32 is not a rational... [FREE SOLUTION]

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.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Geometry

Logic and Functions

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

91影视

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

Decision Maths

Pure Maths

Geometry

Logic and Functions

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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