How can I find the diagonal of a square when the length of its sides is 3 square root of 2?

To find the diagonal of a square, you can use the Pythagorean theorem. The formula for the diagonal (d) of a square with side length (s) is given by:

d = s × √2

In this case, you are given that each side of the square is 3√2. Plugging this value into the formula gives:

d = (3√2) × √2

Now, simplifying the right-hand side:

d = 3 × (√2 × √2) = 3 × 2 = 6

Thus, the length of the diagonal of the square is 6.