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 1.4, Problem 104E
To determine

Verify that rationalizing the denominator and squaring both numerator and denominator are same.

Expert Solution

Answer to Problem 104E

No, its not the same thing.

Explanation of Solution

Calculation:

Here, we have:

  2x

Now, we will eliminate the radical by squaring it:

  (2x)2=22(x)2=4x

Now, when we rationalize the denominator we get:

  2x=2x×xx2x=2x(x)22x=2xx

Thus, the elimination of the radical by rationalize the denominator is 2x=2xx

Hence, the elimination of the radical by squaring both numerator and denominator is not the same thing as rationalizing the denominator.

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