Mathematics Question?

When I was attempting to solve a problem, I got to a point where the equation was x^2 = - 6.25 and knowing that square roots do not work on negativ

When I was attempting to solve a problem, I got to a point where the equation was
x^2 = - 6.25 and knowing that square roots do not work on negatives, I instead did -6.25^0.5, when checking the answers it was correct, but i am not sure if this is a correct way of doing it . Is this ok to do?

or:When I was attempting to solve a problem, I got to a point where the equation was x^2 = - 6.25 and knowing that square roots do not work on negatives, I instead did -6.25^0.5, when checking the answers it was correct, but i am not sure if this is a correct way of doing it . Is this ok to do?

or:No. A negative number has an imaginary root. So you take the root of 6.25 and use lower case i to indicate \"imaginary\". \u221a-6.25 = \u221a6.25 x \u221a-1 = 2.5i

or:You can multiply both by negative to make the 6.25 positive, then do the root on both sides, -x=2.5, so X=-2.5.

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