Simplify −36−−−−√ (1 point) Responses 6i 6 i −6i negative 6 i 36i 36 i i36−−√ i square root of 36

Answer 1

To simplify \(-\sqrt{-36}\):

1. First, recognize that \(-36\) can be expressed as \(-1 \times 36\).
2. The square root of \(-36\) can be rewritten using the imaginary unit \(i\): \[ \sqrt{-36} = \sqrt{-1 \times 36} = \sqrt{-1} \times \sqrt{36} = i \times 6 = 6i \]
3. Therefore, when you include the negative sign from the original expression: \[ -\sqrt{-36} = -6i \]

Thus, the simplified result is \(-6i\).