Question

Find the indicated real nth root(s) of a. n=4, a=81 The roots are and .

Answer 1

3,

-3

Explanation:

Answer 2

3, -3

Explanation:

"Find the indicated real nth root(s) of a. n=4, a=81" becomes
`\sqrt[4]{81}`. The nth root is even so its root will be negative or positive. This is true since 81 is a positive number and a negative times a negative is positive. The root of this is a number when multiplied by itself 4 times will give 81. 81 is odd and is a multiple of 3 and 9 so it is likely 3.

For example, 3*3*3*3 = 81

-3*-3*-3*-3 = 81

Therefore the number is 3 and -3.