Diamond said that the absolute value of #(-3-sqrt5 i)# is #sqrt34# and De'Andre said it is #sqrt14#. Who is correct and why?

1 Answer
Sanjay VN
Jan 21, 2018

De'Andre is correct

Explanation:

for any complex number say of the form
#z = x+ iy# the absolute value is given by
#(x^2 + y^2)^(1/2)#
hence the absolute value of #-3-(5)^(1/2)i#
is given by
#(3^2 + 5^(1/2*2))^(1/2)#
which is #root()14#
hope u find it helpful :)

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