Find the value of-

To find the value of the expression, we use the algebraic identity for the difference of squares: a^2 - b^2 = (a - b)(a + b).

Step-by-Step Solution
Identify the variables: Let a = 13.608 and b = 13.392.

Apply the identity: The expression inside the cube root is (13.608)^2 - (13.392)^2.

Calculate the difference (a - b): 13.608 - 13.392 = 0.216.

Calculate the sum (a + b): 13.608 + 13.392 = 27.

Multiply the results: 0.216 * 27 = 5.832.

Calculate the final cube root: The cube root of 5.832 is 1.8, since 1.8 * 1.8 * 1.8 = 5.832.