austinmabbitt622 austinmabbitt622
  • 09-10-2019
  • Mathematics
contestada

Simplify the expression. Write your answer as a complex number.

5 times the square root of 9 minus the square root of negative 64

8 + 8i
8 − 8i
15 + 8i
15 − 8i

Respuesta :

calculista
calculista calculista
  • 14-10-2019

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]

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