Complex numbers are numbers with real and imaginary part
The equivalent expression is: [tex]3+ 6i[/tex]
The expression is given as:
[tex]\sqrt 9 + \sqrt{-36}[/tex]
Take the square root of 9
[tex]3+ \sqrt{-36}[/tex]
Express -36 as 36 * -1
[tex]3+ \sqrt{36} \times {-1}[/tex]
Take the square root of 36
[tex]3+ 6 \times {-1}[/tex]
In complex numbers:
[tex]\sqrt{-1} = i[/tex]
So, we have:
[tex]3+ 6 \times i[/tex]
This gives
[tex]3+ 6i[/tex]
Hence, the equivalent expression is: [tex]3+ 6i[/tex]
Read more about complex numbers at:
https://brainly.com/question/10251853
