Respuesta :

Answer:

  • [tex]\sf 7i[/tex]

Step-by-step explanation:

[tex]\sf \sqrt{-9} +\sqrt{-16}[/tex]

First, Simplify √(-9) to √(9i):

[tex]\sf \sqrt{9i} +\sqrt{-16}[/tex]

Since 3 * 3= 9, square root of 9 is 3.

[tex]\sf 3i+\sqrt{-16}[/tex]

Now, Simplify √(-16) to √(16i):

[tex]\sf 3 +\sqrt{16i}[/tex]

Now, since 4*4 = 16, the square root of 16 is 4.

[tex]\sf 3i+4i[/tex]

Simplify.

[tex]\sf 7i[/tex]

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