The radicand of a simplified radical has no perfect square factors. A perfect square is the product of a number multiplied by itself (squared). To simplify a radical, factor out the perfect squares by recognizing that \(\sqrt{a^2} = a\). For example, \(\sqrt{64} = \sqrt{16 \times 4} = \sqrt{4^2 \times 2^2} = 4 \times 2 = 8\).
Simplify \( \sqrt{45} \)
| 8\( \sqrt{5} \) | |
| 3\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) | |
| 6\( \sqrt{5} \) |