# 1 2 + 2 rational or irrational and to find the sum of a rational and an irrational number, to find about the product.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 82E
To determine

## To find: 12+2 rational or irrational and to find the sum of a rational and an irrational number, to find about the product.

Expert Solution

12+2,122 are irrational numbers.

### Explanation of Solution

Suppose that pq is a rational number and r is an irrational number.

We know that when r is not a perfect square, r is irrational, i.e., r cannot be changed into ab form where a,b are integers and b is not zero.

So pq+r cannot be changed into ab form where a,b are integers and b is not zero.

pq+r is an irrational number

Similarly, pqr is an irrational number

Using these concepts, it is proved that 12+2,122 are irrational numbers.

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