Question

Find the distance between 5 and 4i ?

Answer 1

Answer:

Distance between 5 and 4i is:

6.40

Step-by-step explanation:

The distance(d) between the points a+ib and c+id is calculated by

$d=\sqrt{(a-c)^2+(b-d)^2}$

Here a=5,b=0 and c=0,d=4

$d=\sqrt{(5-0)^2+(0-4)^2}$

$d=\sqrt{25+16}$

$d=\sqrt{41}$

Hence, d=6.40

Hence, distance between 5 and 4i is:

6.40

Answer 2

$d=\sqrt{(5-0)^2+(4-0)^2}=\sqrt{25+16}=\sqrt{41}$