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Chapter 9: Q. 270 - Exercises (page 1077)

In the following question, simplify.

(a) 11-3+411

(b)315-18

Short Answer

Expert verified

(a) The value is -311+44.

(b) The value is45-54.

Step by step solution

01

Step 1.  Given information .

Consider the given square roots .

(a)11-3+411 (b)315-18

02

Step 2. Using distributive property of multiplication .

The distributive property of multiplication isab-c=ab-ac.

03

Step 3. (a) Simplify 11-3+411 .

Using distributive property .

鈬�11-3+411鈬�11路-3+11路411鈬�-311+44

Therefore the value obtained after simplification is-311+44.

04

Step 4. (b)  Simplify 315-18 .

Using distributive property .

鈬�315-18鈬�3路15-3路18鈬�45-54

Therefore the value obtained after simplification is45-54.

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Most popular questions from this chapter

Accident investigation: An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 175 feet. Use the formula s=24dto find the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

Solve:7s-3+2=0.

Try It.

Solve: y鈭�3+2=4y+2

In the following exercises, simplify and rationalize the denominator.

313

In the following exercises, simplify by rationalizing the denominator

(a)33+11 (b)81-5
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