# To rationalize: the denominator of expression 2 x 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 91E

(a)

To determine

## To rationalize: the denominator of expression 2x3 .

Expert Solution

2x3=2x23x

### Explanation of Solution

Given information:

Given expression

2x3

Calculation:

Consider the given expression.

2x3

Now, multiply the numerator and denominator by x23 .

2x3=2x3×x23x23=2x23x2+13 [aman=am+n]=2x23x33=2x23x [anm=anm]

Hence,

2x3=2x23x

(b)

To determine

Expert Solution

1y34=4y|y|

### Explanation of Solution

Given information:

Given expression

1y34

Calculation:

Consider the given expression.

1y34

Now, multiply the numerator and denominator by y4 .

1y34=1y34×y4y4=y4y3+14 [aman=am+n]=y4y44=y4|y| [anm=anm]

Hence,

1y34=4y|y|

(c)

To determine

Expert Solution

xy25=xy35y

### Explanation of Solution

Given information:

Given expression

xy25

Calculation:

Consider the given expression.

xy25

Now, multiply the numerator and denominator by y35 .

xy25=xy25×y35y35=xy35y25+35=xy35y55=xy35y

Hence,

xy25=xy35y

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