Can someone show me how to write complex numbers in standard form? I missed a few days of class and do not have the text book. Answering a simple question like the one below would help
Write the complex number in standard form. $6 + \sqrt{−16}$
Can someone show me how to write complex numbers in standard form? I missed a few days of class and do not have the text book. Answering a simple question like the one below would help
Write the complex number in standard form. $6 + \sqrt{−16}$
$\sqrt{-1}$ is written as just $i$ for "imaginary".
$\sqrt{-x}$ can be factored as $\sqrt{-1\vphantom{x}}\sqrt{x} = i\sqrt{x}$.
"Standard form" for complex numbers is $a + bi$ where $a$ and $b$ are real numbers. If $a$ or $b$ is 0, you omit that part. For example, you write $3 + 0i$ as just $3$, and $0 + 3i$ as just $3i$.
For your example, you have $6+\sqrt{-16} = 6 + i\sqrt{16} = 6 + 4i$. The "standard form" is $6+4i$.
Note that $i^2=-1$, so $\sqrt{-16}=\sqrt{i^216}=i4. $ Hence $6+\sqrt {-16}=6+i4{}$