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\( -9\sqrt{5} \)
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To simplify \(-\sqrt{405}\), we first need to find the prime factorization of 405. We can split it like this: \(405 = 81 \times 5 = 9 \times 9 \times 5 = 3^4 \times 5\). Now, we can simplify the square root: \[ \sqrt{405} = \sqrt{81 \times 5} = \sqrt{81} \times \sqrt{5} = 9\sqrt{5} \] Thus, \(-\sqrt{405}\) simplifies to: \[ -9\sqrt{5} \]
