Respuesta :

Answer:

[tex]15-8i[/tex]

Step-by-step explanation:

we know that

The algebraic expression is equal to

[tex]5\sqrt{9}-\sqrt{-64}}[/tex]

Remember that

[tex]\sqrt{9}=3[/tex]

and

[tex]i=\sqrt{-1}[/tex]

so

[tex]\sqrt{-64}=i\sqrt{64}=8i[/tex]

substitute

[tex]5\sqrt{9}-\sqrt{-64}}=5(3)-(8i)=15-8i[/tex]