dev68 dev68
  • 23-01-2019
  • Mathematics
contestada

Write the number in the form a+bi square root of -64+2?

Respuesta :

gmany
gmany gmany
  • 23-01-2019

Answer:

[tex]\sqrt{-64}+2=2+8i[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}\\\\\sqrt{-64}=\sqrt{(64)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ for\ a\geq0\ and\ b\geq0\\\\=\sqrt{64}\cdot\sqrt{-1}=8\cdot i=8i\\\\\text{Therefore:}\\\\\sqrt{-64}+2=8i+2=2+8i[/tex]

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