Calculate the square root of 576

Problem

√(,576)

Solution

1. Identify the number under the radical, which is 576

2. Factor the number into its prime factors to find perfect squares.

3. Divide 576 by 2 repeatedly: 576=2×288=2×144

4. Recognize that 144 is a well-known perfect square, specifically 12

5. Rewrite the expression using these factors: √(,2×12)

6. Apply the property of square roots √(,a×b)=√(,a)×√(,b) to simplify.

7. Calculate the final product: 2×12=24

Final Answer

√(,576)=24

Want more problems? Check here!