Evaluate square root of 4416

Problem

√(,4416)

Solution

1. Factor the number inside the square root to find perfect square factors.

2. Identify that 4416 is divisible by 16 because 4416=16×276

3. Check for further perfect square factors in 276 Since 276=4×69 we can rewrite the expression.

4. Combine the perfect squares: 16×4=64

5. Rewrite the radical as √(,64×69)

6. Apply the product property of radicals √(,a×b)=√(,a)×√(,b)

7. Simplify the square root of the perfect square 64

Final Answer

√(,4416)=8√(,69)

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