Evaluate fourth root of 4096

Problem

√(4,4096)

Solution

1. Identify the goal, which is to find a number x such that x4=4096

2. Factor the number 4096 into its prime factors to simplify the root.

3. Observe that 4096 is a power of 2

4096=2

4. Apply the property of radicals where √(n,am)=am/n

√(4,2)=2

5. Simplify the exponent:

2=8

Final Answer

√(4,4096)=8

Want more problems? Check here!