SOLUTION: Determine whether each statement is sometimes, always, or never true. a. √(a2+b2) is a real number.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Determine whether each statement is sometimes, always, or never true. a. √(a2+b2) is a real number.      Log On


   

Question 127873: Determine whether each statement is sometimes, always, or never true.
a. √(a2+b2) is a real number.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether each statement is sometimes, always, or never true.
a. √(a2+b2) is a real number.
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a^2 is always >= zero
b^2 is always >= zero
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Therefore a^2+b^2 >=0
Therefore sqrt(a^2+b^2) is always a Real Number.
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Cheers,
Stan H.