The expression 3\sqrt3 represents a mathematical quantity where 3 is multiplied by the square root of 3. The square root of 3 is an irrational number, approximately equal to 1.732. Therefore, 3\sqrt3 can be calculated as 3 \times 1.732, which equals approximately 5.196. In geometry, 3\sqrt3 often appears in calculations involving the area of equilateral triangles. The area of such a triangle can be expressed as \frac\sqrt{3}4 s^2, where s is the length of a side. This relationship highlights the significance of the square root of 3 in various mathematical contexts.