Go step by step to reduce the radical., This question page includes a given radical, a line to fill out of the form square root of, input box, end square root, square root of, input box, end square root, and a try button. After pressing the try button, if your answer is correct, it will be added to the page and a new step will appear with another try button. Continue this process until the radical is fully reduced and the submit answer button appears.

square root of, 72, end square root72​


To reduce the radical \(\sqrt{72}\), we’ll simplify it step-by-step by factoring out any perfect squares.

1. **Factor 72 into prime factors:**
   \[
   72 = 36 \times 2
   \]
   Since \(36\) is a perfect square (\(36 = 6^2\)), we can take the square root of 36 out of the radical.

2. **Rewrite the radical expression:**
   \[
   \sqrt{72} = \sqrt{36 \times 2}
   \]

3. **Separate the square root of the perfect square:**
   \[
   \sqrt{72} = \sqrt{36} \times \sqrt{2}
   \]

4. **Simplify the square root of 36:**
   \[
   \sqrt{36} = 6
   \]
   So, \(\sqrt{72} = 6 \sqrt{2}\).

5. **

Go step by step to reduce the radical. square root of 72

Learn how to simplify the radical √72 step-by-step by factoring out perfect squares and applying the properties of square roots. This problem covers concepts in radical simplification and prime factorization, suitable for students in Grades 8-10.

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