Simplify the radical expression. \( \sqrt{28} \)

To simplify the radical expression \( \sqrt{28} \), follow these steps: 1. **Factor the Number Inside the Radical:** Start by finding the prime factors of 28. \[ 28 = 4 \times 7 \] Here, 4 is a perfect square since \( 4 = 2^2 \). 2. **Apply the Square Root to Each Factor:** Use the property of square roots that \( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \). \[ \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} \] 3. **Simplify the Square Roots:** Since \( \sqrt{4} = 2 \), substitute this value back into the expression. \[ \sqrt{4} \times \sqrt{7} = 2 \times \sqrt{7} \] 4. **Final Simplified Form:** \[ \sqrt{28} = 2\sqrt{7} \] **Therefore, the simplified form of \( \sqrt{28} \) is \( 2\sqrt{7} \).**