SOLUTION: Is it always true that √(a^2+b^2 )=a+b? Is it sometimes true? Or is it always false? Please use and example.

Question 290438: Is it always true that √(a^2+b^2 )=a+b? Is it sometimes true? Or is it always false? Please use and example.
Answer by toidayma(44) (Show Source): You can put this solution on YOUR website!
You can answer the question by finding the condition of a,b so that:

- The first condition is that (a+b) >= 0 since the left side of the equation is never negative.
- When both sides are both >= 0, we have:
<-> <-> 2*a*b = 0 <-> a = 0 or b = 0.
Therefore, (1) is true with two conditions: (1) a + b >= 0 and (2) a*b = 0.
Is it clear now?
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SOLUTION: Is it always true that &#8730;(a^2+b^2 )=a+b? Is it sometimes true? Or is it always false? Please use and example.

SOLUTION: Is it always true that √(a^2+b^2 )=a+b? Is it sometimes true? Or is it always false? Please use and example.