QuestionState the side length of a square with an area of $363 \mathrm{~cm}^{2}$ in simplified radical form. $\frac{1573}{\sqrt{2}} \mathrm{~cm}$ $\frac{1573}{2} \mathrm{~cm}$ $11 \sqrt{3} \mathrm{~cm}$ $\sqrt{786.5} \mathrm{~cm}$

Studdy Solution
Simplify $\sqrt{363}$ to find the side length in simplified radical form:
First, factor 363 to find perfect squares: $$363 = 3 \times 121$$ $$121 = 11^2$$
Thus: $$\sqrt{363} = \sqrt{3 \times 11^2} = 11\sqrt{3}$$
The side length of the square is:
$$\boxed{11\sqrt{3} \, \text{cm}}$$