Question

What is the absolute value of the complex number -4-√2i

Answer 1

3√2

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 2

`\sqrt[3]{2}`

Explanation:

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

Then absolute value of the complex number will be =
`\sqrt{a^(2)+b^(2)  }`

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

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

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

=
`√(16+2)`

=
`√(18)`

=
`√(9*2)`

=
`\sqrt[3]{2}`

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