Evaluate square root of 84

Problem

√(,84)

Solution

1. Identify the number under the radical and look for its prime factors.

2. Factor the number 84 into its prime components.

84=2×42

84=2×2×21

84=2×3×7

3. Apply the product property of radicals to separate the perfect square from the remaining factors.

√(,84)=√(,2×3×7)

4. Simplify the radical by taking the square root of the perfect square 2

√(,84)=2√(,3×7)

5. Multiply the remaining factors inside the radical.

√(,84)=2√(,21)

Final Answer

√(,84)=2√(,21)

Want more problems? Check here!