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Chapter 9: Q 636. (page 1149)

In the following exercises, simplify.

10-505

Short Answer

Expert verified

The simplification of10-505is,2-12.

Step by step solution

01

Step1. Given information  

Given expression is10-505.

02

Step2. Rewrite the radicand as a product using the largest perfect square factor

10-505=10-25.25

03

Step3. Rewrite the radical as the product of two radicals

10-25.25=10-2525

04

Step4. Simplification

10-2525=10-525

05

Step5. Factor the common factor from the numerator.

10-525=5(2-2)5

06

Step6. Remove the common factor, 5 , from the numerator and denominator.

5(2-2)5=2-2

07

Step7. Check

10-505=10-25.25=10-2525=10-525=5(2-2)5=2-2

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In the following exercises, solve.

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