Evaluate fourth root of 16

Problem

√(4,16)

Solution

1. Identify the expression as the fourth root of the number 16 which asks for 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,an)=a for a≥0

√(4,2)=2

Final Answer

√(4,16)=2

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