# (i) What number exceeds its fourth root by #12#? (ii) What number exceeds its fourth root by #16#?

##### 1 Answer

Mar 10, 2016

13.93198 (To 5D) exceeds its fourth root by 12

16 exceeds its fourth root by 14

#### Explanation:

In general, the solution (x) may be found from the equation

When n = 12 the equation may be solved by numerical methods (I used Newton/Raphson)

Check:

The case of n = 14 can be solved by inspection.

Since

N.B. The following is not relevant to the post restoration answer:

[If the values at a) through d) in the question are supposed to represent possible answers, and

The answer to the n = 14 case is c) 16]