A square has an area of 252 ft squares. Express the side length of this square as a radical in simplest form
side = √252
= √4 * √63
= ...
To express the side length of the square as a radical in simplest form, we can use the formula for the area of a square, which is given by the equation A = s^2, where A represents the area and s represents the length of a side.
In this case, we know that the area of the square is 252 square feet. We can set up the equation as follows:
252 = s^2
To simplify this equation, we can take the square root of both sides, which will help us isolate the side length, s. The square root of 252 can be simplified as the square root of a perfect square multiplied by a prime number. In this case, we can simplify it further as:
√(252) = √(36 * 7)
Using the property of square roots that states √(a * b) = √a * √b, we can rewrite it as:
√(36 * 7) = √36 * √7
The square root of 36 is 6, so we end up with:
6√7 = s
Therefore, the side length of the square can be expressed as 6√7 in simplest radical form.