Yes every positive number has two square roots, i.e. 25 gives 5 and -5
but when you are looking at a square window, its lengths are all the same and also the length has to be positive. You cannot have -5 cm. There is no such things as a negative length which is why we take the positive one only. So if the surface area of a square window is 25cm². Then its length is √25 = 5 cm (or -5cm but again you cannot have a negative length, thus you only take the positive one).
Some math problems like this you have to think about if you can have a negative answer. in this case no, but other problems can sometimes have a negative answer.
The area of the room is 125 square feet because 12.5 times 10=125 square feet. As a result, you will spend $187.5 for it cost $1.5 to buy one square foot of carpet, and now we need 125 square feet to cover the room which 125 times 1.5 to get 187.5. Hope it help!