# To rationalize: the denominator of expression 5 12 .

### 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 90E

(a)

To determine

## To rationalize: the denominator of expression 512 .

Expert Solution

512=156

### Explanation of Solution

Given information:

Given expression

512

Calculation:

Consider the given expression.

512

Now, multiply the numerator and denominator by 12 .

512=512×1212=6012=2×2×1512=21512=156

Hence,

512=156

(b)

To determine

Expert Solution

x6=6x6

### Explanation of Solution

Given information:

Given expression

x6

Calculation:

Consider the given expression.

x6

Now, multiply the numerator and denominator by 6 .

x6=x6×66=6x6

Hence,

(c)

To determine

Expert Solution

y2z=2zy2z

### Explanation of Solution

Given information:

Given expression

y2z

Calculation:

Consider the given expression.

y2z

Now, multiply the numerator and denominator by 2z .

y2z=y2z×2z2z=2zy2z

Hence,

y2z=2zy2z

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