Evaluate square root of 208

Problem

√(,208)

Solution

1. Identify the number inside the radical and look for perfect square factors.

2. Factor the number 208 into its prime factors or find the largest perfect square that divides it.

208=16×13

3. Apply the product property of radicals, which states √(,a×b)=√(,a)×√(,b)

√(,208)=√(,16×13)

√(,208)=√(,16)×√(,13)

4. Simplify the square root of the perfect square.

√(,16)=4

5. Combine the results to write the expression in simplest radical form.

√(,208)=4√(,13)

Final Answer

√(,208)=4√(,13)

Want more problems? Check here!