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Chapter 9: Q 9.138 - Try It. (page 1086)

Simplify:1050.

Short Answer

Expert verified

Simplified form of1050is55.

Step by step solution

01

Step 1. Given information.

Given a fraction1050.

02

Step 2. Remove the common factor.

Note that 10 is a common factor of 10 and 50.

It follows that 1050=15.

03

Step 4. Rewrite the fraction using quotient property.

Quotient property of square roots says that if a, b are non-negative number and b鈮�0, then ab=ab.

It folllows that15=15, that is15.

04

Step 4. Rationalize the denominator and simplify.

Rationalize the denominator by multipliying both numerator and denominator by 5.

Note thata路a=afor all real numbers.

Rationalize and simplify as follows.

15=55路5=55

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Most popular questions from this chapter

Accident investigation: The skid marks for a car involved in an accident measured 216 feet. Use the formula s=24dto find the speed of the car before the brakes were applied. Round your answer to the nearest tenth.

In the following exercises, solve.

2y+4+6=0

In the following exercises, solve.

4m+2+2=6.

In the following exercises, simplify and rationalize the denominator.

927

In the following exercises, simplify by rationalizing the denominator

(a)44+7 (b)72-6
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