anonymous
  • anonymous
I am asked to show that if a and b are of the same sign that the absolute value of their sum is equal to the sum of their absolute values. I have a feeling that it is related to the use of the \sqrt{x^2} function but have been unable to figure out the relationship. How would I proceed showing this relationship?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
go with the definition of \(|x|\)
anonymous
  • anonymous
if \(x>0\) then \(|x|=x\) and if \(x<0\) then \(|x|=-x\)
anonymous
  • anonymous
ignore \(\sqrt{x^2}\) that just complicates things

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
so for example, if \(a>0,b>0\) then \(|a|=a\) and \(|b|=b\) and so \(|a|+|b|=a+b\)
anonymous
  • anonymous
How would that relate to showing \[|a| + |b| = |a + b|\] ?

Looking for something else?

Not the answer you are looking for? Search for more explanations.