coleyrose03owhtgi coleyrose03owhtgi
  • 05-05-2020
  • Mathematics
contestada

How do you simplify complex number of √ -32
Please explain thanks

Respuesta :

8oom8ox59
8oom8ox59 8oom8ox59
  • 05-05-2020

Answer:

4i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

break up the radicand up into product of known factors 4 and 2. In this case its a negative so you put an i to indicate imaginary number because you can't rationally find the square root of a negative number

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devishri1977
devishri1977 devishri1977
  • 05-05-2020

Answer:

Step-by-step explanation:

Factorize 32 and i² = -1

[tex]\sqrt{-32}=\sqrt{32*(-1)}\\\\ =\sqrt{2*2*2*2*2*i^{2}}\\\\=2*2*i\sqrt{2}\\\\=4i\sqrt{2}[/tex]

Answer Link

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