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]