Calculate the square root of 216

Problem

√(,216)

Solution

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

2. Factor the number 216 into its prime factors or find the largest perfect square that divides it.

216=36×6

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

√(,216)=√(,36×6)

√(,216)=√(,36)×√(,6)

4. Simplify the square root of the perfect square.

√(,36)=6

5. Combine the results to find the simplified radical form.

√(,216)=6√(,6)

Final Answer

√(,216)=6√(,6)

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