Respuesta :
Answer:
The standard form like [tex](a+bi)[/tex] will be: [tex]15+8i[/tex]
Step-by-step explanation:
Given expression is: [tex]2\sqrt{-16}+\sqrt{225}[/tex]
First factoring out -16 as (-1×16) , we will get....
[tex]2\sqrt{-1}*\sqrt{16}+\sqrt{225}[/tex]
Now, replacing [tex]\sqrt{-1}[/tex] as [tex]i[/tex] .......
[tex]2i\sqrt{16}+\sqrt{225}[/tex]
Finally, simplifying the radicals in the above expression, we will get......
[tex]2i*4+15\\ \\ =15+8i[/tex]
Thus, the standard form like [tex](a+bi)[/tex] will be: [tex]15+8i[/tex]
