Question 59824
An imaginary number takes the form:
(i)(i)=-1, because {{{(sqrt(-1))}}}=i,
In the real number world, the square root of a negative number cannot exist.
Example: (2)(2)=4 and the sqrt(4)=2
Example: (-2)(-2)=4 and the sqrt (4)=-2
When you multiply a number twice, the result will always be a positive number.
.

W^2 = -225
{{{(sqrt(w^2))}}}={{{(sqrt(-225))}}}[Take the square root of both sides]
{{{(sqrt(w^2))}}}={{{(sqrt((-1)(225)))}}}
{{{(w))}}}={{{(15sqrt(-1))}}}
w=15i