SOLUTION: A graph shows the equation y=4√x a.how many real roots does 4√16 have? b.how many real roots does 4√-16 have? Plz give the principal root of 3√-125.. T

Algebra ->  Radicals -> SOLUTION: A graph shows the equation y=4√x a.how many real roots does 4√16 have? b.how many real roots does 4√-16 have? Plz give the principal root of 3√-125.. T      Log On


   

Question 944813: A graph shows the equation y=4√x
a.how many real roots does 4√16 have?
b.how many real roots does 4√-16 have?
Plz give the principal root of 3√-125..
Thx for your time..
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
A graph shows the equation y=4sqrt%28x%29
a.how many real roots does 4sqrt%2816%29 have?
if y=4sqrt%2816%29=>y=4%2A4 =>y=16 and that is ONE real root
b.how many real roots does 4sqrt%28-16%29 have?
answer is NONE, the square root of a negative number does not exist among the set of Real Numbers
y=4sqrt%28-16%29=>y=4%2A%284i%29 or y=4%2A%28-4i%29 =>y=16i or y=-16i

the principal root of root%283%2C-125%29 is -5 because %28-5%29%5E3+=+-125