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.
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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?
