(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If a,b are real numbers and b does not equal zero show that |a|=sqrt(a^2) and |a/b|=|a|/|b|.

2. Relevant equations

I know that |ab|=|a||b| and a^2 = |a|^2

3. The attempt at a solution

Attempt at showing that |a|=sqrt(a^2):

|a|=sqrt(a^2)

|a|^2=(sqrt(a^2))^2

|a|^2=a^2

a^2=a^2

Not sure how to do the second part.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Absolute value proof

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