Question

write complex number in standform

Answer 1

\[(\sqrt{-75})^2\]

Answer 2

\[(\sqrt{-75})^2\]
What is \(\sqrt{-75}\) ?
\[\sqrt{-75} = \sqrt{75}*\sqrt{-1} = \sqrt{75}i\]
Thus,
\[(\sqrt{-75})^2 = (\sqrt{75}i)^2 = 75*i^2 = -75\]

Z = a + ib [Where a is the real part and b is the imaginary part]
In this case a = -75, b = 0

Thus, the standard form of the complex number is: Z = -75 + i(0)