\(-\sqrt{320} \)
How do i go about solving this?
Just take the square root of 320 and put - in front of it.
-sqrt(320)=-17.888.....etc. That is it.
One would think that it would be approximately -17.888, because the square root of 320 is 17.888.
However, it isn't.
Put this into the calculator:
\((-2)^2\)
What does it come up with? It should be 4. Not -4. This is because a negative multiplied by a negative is a positive. Because of this, the square root of -320 will not be -17.888, as -17.888 sqaured will be 320, and not -320.
So the question remains: what is the answer? It can't be -17.888, nor can it be 17.888, for those are both square roots of 320. The answer is acually 17.888*i, or 17.888i. What is i you ask? i is actually the simbol that mathematicians have used for the square root of -1. And because \( \sqrt{-1} = i\)
This means that \( -\sqrt{320}=17.888i\)
