SOLUTION: 3. Determine whether the following statements are always true·, sometimes true and never true'. If you put "Never true". provide a counter example showing that it is false. a. Th

Question 1134897: 3. Determine whether the following statements are always true·, sometimes true and never true'. If you put "Never true". provide a counter example showing that it is false.
a. The fourth root of a positive number is a positive number.and the fourth root of a negative number is a negative number.
b. Every positive number has two cube roots. one of which is the opposite of the other.
c. The square root of a number that is not a perfect square is an irrational number
d If the radicand of a radical expression is evenly divisible by a perfect square greater than 1. then the radical expression is not in simplest form.

Answer by Glaviolette(140) (Show Source): You can put this solution on YOUR website!
a. Sometimes true???? The fourth root of a positive can be a positive but can also be a negative. The fourth root of a negative is an imaginary.
b. Never true...every positive number has two SQUARE roots, one of which is the opposite of the other. Every positive number has one cube root...cube root of 8 is 2.
c. always true
d. always true
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