Question

If z =3+4i then find modulus of z

Answer 1

Answer:

z=x +iy

here:x=3 and y=4

modulus of z

=|Z|

=(x²+y²)½

=(3²+4²)½

=(9+16)½

=(25)½

=(5²)½

=5

Hence, the modulus of z is 5.

Answer 2

Given,

$\[z = 3 + 4i\]$

Solution,

Calculate the modulus of z.

$\[\begin{array}{l} \Rightarrow \left| z \right| = \sqrt {{{\left( 3 \right)}^2} + {{\left( 4 \right)}^2}} \\ \Rightarrow \left| z \right| = \sqrt {9 + 16} \\ \Rightarrow \left| z \right| = \sqrt {25} \\ \Rightarrow \left| z \right| = 5\end{array}\]$

Hence, the modulus of z is $\[5.\]$