1. **State the problem:** Simplify the radical expression $$\sqrt{160}$$.
2. **Recall the formula and rules:** To simplify a square root, factor the number inside the radical into its prime factors or perfect squares.
3. **Factor 160:**
$$160 = 16 \times 10$$
4. **Use the property of radicals:**
$$\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$$
5. **Apply to our factors:**
$$\sqrt{160} = \sqrt{16 \times 10} = \sqrt{16} \times \sqrt{10}$$
6. **Simplify the perfect square:**
$$\sqrt{16} = 4$$
7. **Final simplified form:**
$$\sqrt{160} = 4 \sqrt{10}$$
This means the square root of 160 can be expressed as 4 times the square root of 10, which is the simplest radical form.
Simplify Radical 29D7B7
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