Question

Which of the following is equivalent to a real number?

A. (-46)^1/2
B. (-10596)^1/8
C. (-4099)^1/5
D. (-5403)^1/6​

Answer 1

C. (-4099)^1/5

Explanation:

`x^{(1)/(2) } = √(x)`

you can not take roots (real roots) of a negative number if the exponent is

even ... A,B,D have even exponents (in the denominator of the exponent.. in other words the index of the radical is even)...

the only odd index is in "B" (the 5 in the 1/5)