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Chapter 9: Q 388 (page 1092)

(a) Approximate 12by dividing 11.414using long division without a calculator.

(b) Rationalizing the denominator of 12gives 22. Approximate 22by dividing 1.4142usinglong division without a calculator.

(c) Do you agree that rationalizing the denominator makes calculations easier? Why or

why not?

Short Answer

Expert verified

(a) The approximation of 12is0.707

(b) The approximation of 22is 0.707

(c) Yes, I agree that rationalizing the denominator makes calculations easier.

Step by step solution

01

Step 1. Given Information

(a) Approximate 12by dividing 11.414using long division without a calculator.

(b) Rationalizing the denominator of 12gives 22. Approximate 22by dividing 1.4142using long division without a calculator.

(c) Do you agree that rationalizing the denominator makes calculations easier? Why or

why not?

02

Part (a) of Step 1. Approximate 

Rationalize the denominator using the property of multiplication

12脳2222

Divide

1.4142=0.707

03

Part (b) of Step 1. Approximate

1.4142

Divide

0.707

04

Part (c) of Step 1. Explanation

Yes, I agree that rationalizing the denominator makes calculations easier because rationalizing the denominator makes it easier to perform any calculation on rational number.

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