Question

Why is there no real number equal to $V-64$ ? 

   Why is there no real number equal to $V-64$ ?
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 8, Problem 51 ↓
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Why is there no real number equal to $V-64$ ?
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Transcript

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00:01 So with this problem, we have to explain why this number, square root of negative 64, is not a real number.
00:09 Well, in order to prove that it's not a real number, we have to think about this mathematical concept of the chapter introduced.
00:15 So if we set up a root a to the power of m, we have these following rules.
00:23 So if m is odd, a equals real.
00:29 So no matter what, if m is odd, then a is real.
00:33 But if m is even, in order for a to be a real number, a has to be greater than zero...
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