Respuesta :

Answer:

3√2

Step-by-step explanation:

Recall that "absolute value" often denotes "distance."  We could apply the distance formula here, obtaining

distance = absolute value of -4 - √2*i =

               = √( [-4]^2 + [√2*i]^2 ) = √(16+2) = √18 = 3√2

Answer:

[tex]\sqrt[3]{2}[/tex]

Step-by-step explanation:

If the complex number is given in the form of  ( a+bi)

Then absolute value of the complex number will be = [tex]\sqrt{a^{2}+b^{2}  }[/tex]

Now the given complex number is ( [tex]-4 \sqrt[-i]{2}[/tex]

So in this number a = ( -4 ) and b = [tex]\sqrt[-]{2}[/tex]

Therefore, absolute value will be = [tex]\sqrt{(-4)^{2}+(\sqrt[-]{2})^{2}}[/tex]

                                                      = [tex]\sqrt{16+2}[/tex]

                                                      = [tex]\sqrt{18}[/tex]

                                                      = [tex]\sqrt{9*2}[/tex]

                                                     = [tex]\sqrt[3]{2}[/tex]

So absolute value will be [tex]\sqrt[3]{2}[/tex].

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