Question

Explain why (-81)^1/2 is not defined?

Answer 1

becasue you havent defined it?

Answer 2

^(1/2) is the same thing as square root.

Answer 3

because x^1/2 means the sqrt of x
sqrt of a negative number is not defined in the real numbers

Answer 4

Hence, \(-81^{\frac{1}{2}} = \sqrt{-81}\)

Answer 5

And since a square root of a negative number doesn't belong to the set of rational numbers, we say that \(-81^{\frac{1}{2}}\) is undefined.

Answer 6

Thanks zepp.

Answer 7

Thanks thomasj.