Question

Find the modulus
-1/2+i√3/2​

Answer 1

Given,

$\[z = - \frac{1}{2} + i\frac{{\sqrt 3 }}{2}\]$

Solution,

Calculate the modulus of z.

$\[\begin{array}{l} \Rightarrow \left| z \right| = \sqrt {{{\left( { - \frac{1}{2}} \right)}^2} + {{\left( {\frac{{\sqrt 3 }}{2}} \right)}^2}} \\ \Rightarrow \left| z \right| = \sqrt {\frac{1}{4} + \frac{3}{4}} \\ \Rightarrow \left| z \right| = \sqrt {\frac{4}{4}} \\ \Rightarrow \left| z \right| = 1\end{array}\]$

Hence, the modulus of z is $1.$