To find the cube root of 135, we can try to simplify it by finding the largest perfect cube that divides 135. The largest perfect cube in this case is 27 (since 3^3 = 27), which is a factor of 135. We can express 135 as the product of 27 and 5:
135 = 27 × 5
Now, we can take the cube root of both factors:
^3√135 = ^3√(27 × 5)
Since the cube root of 27 is 3, and the cube root of 5 cannot be simplified further, the result is:
^3√135 = 3 × ^3√5
None of the responses provided in the question are formatted correctly for standard interpretation, but if we attempt to match the correct cube root to the given options, "5–√3" seems to be an attempt to represent 5 times the cube root of 3, which is not correct for the cube root of 135. The correct cubic root representation for 135 should be "3√5".
So the response that most accurately represents the cube root of 135 is:
3√5
If none of the given options are correct and a point must be awarded, please provide the standard notation or the context in which these responses are given for further clarification.