Question

# Find the absolute value. |3-4i|

Functions
Find the absolute value.
$$|3-4i|$$

2021-05-20
Step 1
To find the absolute value: $$|3-4i|$$
Solution:
We know absolute value of a complex number of the form a+ib is given by:
$$|a+ib|=\sqrt{a^{2}+b^{2}}$$
$$\Rightarrow |3-4i|=\sqrt{3^{2}+(-4)^{2}}$$
$$\Rightarrow |3-4i|=\sqrt{9+16}$$
$$\Rightarrow |3-4i|=\sqrt{25}$$
$$\Rightarrow |3-4i|=5$$
Step 2
Result:
|3-4i|=5