State the side length of a square with an area of 27 cm2 in simplified radical form.
S^2 = 27
Solve for S.
To find the side length of a square with a given area, you need to take the square root of the area.
Given that the area is 27 cm², you can express it as √27 cm².
To simplify the radical, you can factorize 27 into its prime factors: 27 = 3 × 3 × 3 = 3³.
Now you can rewrite the square root as follows:
√27 cm² = √(3³ cm²) = 3√3 cm.
Therefore, the side length of the square with an area of 27 cm² in simplified radical form is 3√3 cm.