Answer:
A. [1, 2]
Step-by-step explanation:
You want the interval containing the root for the equation x⁴ -5 = 0.
Powers
The fourth powers of small integers are ...
1⁴ = 1
2⁴ = 16
3⁴ = 81
Root
The value 5 is between 1 and 16, so the 4th root of 5 will be between (the 4th root of 1) = 1 and (the 4th root of 16) = 2.
The interval containing the root is [1, 2].