how do you express the side length of a square as a radical, in simplist form, if the area is 252 ft. squared?
To express the side length of a square as a radical in simplest form when given the area, you need to take the square root of the given area. Here's how you can do it step by step:
1. Start with the given area of the square, which is 252 ft².
2. Take the square root of the area to find the side length.
- √252 = 15.874 ft (approximate value)
3. Simplify the radical, if possible, to express it in simplest form.
- The square root of 252 cannot be simplified further because there are no perfect square factors of 252.
- Therefore, the side length of the square, expressed as a radical in simplest form, is √252 ft.
Remember that the square root (√) of a number gives you the value that, when multiplied by itself, equals the original number. In this case, the square root of 252 gives you the side length of the square.