Answer:
The length of each side of the square is approximately 4.24 cm.
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of each side of the square. Let "s" be the length of each side of the square. The diagonal of the square, which is 6 cm, is the hypotenuse of a right triangle whose legs are two sides of the square. So we have:

Simplifying this equation, we get:

Dividing both sides by 2, we get:

Taking the square root of both sides, we get:
s ≈ 4.24
Therefore, the length of each side of the square is approximately 4.24 cm.