# The rule of rationalizing a denominator and to complete the steps to rationalize the expression 1 3 .

### 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 1.2, Problem 5E
To determine

## To explain: The rule of rationalizing a denominator and to complete the steps to rationalize the expression 13.

Expert Solution

The value of expression 13 in rationalized form is 33_.

### Explanation of Solution

The given radical expression is 13.

Consider an expression 1a.

In order to rationalize the denominator of the given expression, the numerator and denominator of the given expression is multiplied with the value given in the denominator. That is,

1a=1aaa=aa

Thus, the rationalized form of the expression 1a is aa.

Use the above method and complete the rationalization of the expression 13 as shown below.

13=1333=33

Thus, the value after rationalization is 33.

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