Perform the indicated operations and write the result in standard form.
\[
(-6-\sqrt{-5})^{2}
\]

Answer

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Answer

So, the final answer in standard form is \(\boxed{31+26.83i}\)

Steps

Step 1 ：Given the complex number \((-6-\sqrt{-5})^{2}\)

Step 2 ：We need to square this complex number. This involves squaring the real part, squaring the imaginary part, and then adding the two results together.

Step 3 ：Let's denote the complex number as z. So, z = (-6-2.23606797749979i)

Step 4 ：After squaring, we get the result as (31+26.832815729997478i)

Step 5 ：This result is already in standard form, where the real part is 31 and the imaginary part is 26.832815729997478

Step 6 ：So, the final answer in standard form is \(\boxed{31+26.83i}\)

Perform the indicated operations and write the result in standard form.\[(-6-\sqrt{-5})^{2}\]

Answer

Popular Problems

Perform the indicated operations and write the result in standard form.
\[
(-6-\sqrt{-5})^{2}
\]