Question

find the value |2i 3|

Answer 1

$\sqrt{13}$

Answer 2

For a complex number $z = a + bi$, its modulus is given by

$$|z| = \sqrt{a^2 + b^2}.$$

Interpreting the given $|2i\ 3|$ as the complex number $2 + 3i$, we have $a = 2$ and $b = 3$. Thus,

$$|2 + 3i| = \sqrt{2^2 + 3^2} = \sqrt{4 + 9} = \sqrt{13}.$$