9 - √( - 64)write the equation as a complex number

Question

`9 - √( - 64)`write the equation as a complex number

Answer 1

`A)9-8i`

Step-by-step explanation

`9-\sqrt[]{-64}`

Step 1

Let's remember that

A complex number is an object of the form

`a+bi`

where a and b are real numbers and

`\begin{gathered} i^2=-1 \\ i=\sqrt[]{-1} \end{gathered}`

so

`\begin{gathered} 9-\sqrt[]{-64} \\ 9-\sqrt[]{-1\cdot64} \\ 9-\sqrt[]{-1}\sqrt[]{64} \\ 9-8\sqrt[]{-1} \\ 9-8i \end{gathered}`

therefore, the answer is

`A)9-8i`

I hope this helps you