BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 91E

  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

To rationalize: the denominator of expression 1y34 .

Expert Solution

Answer to Problem 91E

  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

To rationalize: the denominator of expression xy25 .

Expert Solution

Answer to Problem 91E

  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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