The modulus of $ z $ is:
$$ |z| = \frac{\sqrt{ 121130 }}{ 100 }$$To find modulus of a complex number $ z = a + bi $ we use formula:
$$ |z| = \sqrt{a^2 + b^2} $$In this example we have $ a = \frac{ 59 }{ 100 } $ and $ b = \frac{ 343 }{ 100 } $ so:
$$ \begin{aligned}|z| &= \sqrt{ \left(\frac{ 59 }{ 100 }\right)^2 + \left(\frac{ 343 }{ 100 }\right)^2 } \\[1 em]|z| &= \sqrt{ \frac{ 3481 }{ 10000 } + \frac{ 117649 }{ 10000 } } \\[1 em]|z| &= \sqrt{ \frac{ 12113 }{ 1000 } } \\[1 em]|z| &= \frac{\sqrt{ 121130 }}{ 100 } \\[1 em] \end{aligned} $$