Evaluate - fourth root of 16

Problem

√(4,16)

Solution

1. Identify the operation as finding the fourth root of the number 16, which means finding a number that, when multiplied by itself four times, equals 16.

2. Rewrite the radicand 16 as a power of a prime number.

16=2⋅2⋅2⋅2

16=2

3. Apply the property of radicals where √(n,xn)=x for positive values of x

√(4,2)=2

Final Answer

√(4,16)=2

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