To calculate the expression 6w - w to the cube root when w=288, we first substitute the value of w into the expression:
6w - w = 6 * 288 - 288
Next, we simplify the expression inside the parentheses:
6 * 288 - 288 = 1728 - 288
Then, we subtract the two values to get the result:
1728 - 288 = 1440
Finally, we take the cube root of the result:
∛1440 ≈ 11.09 (rounded to two decimal places)
So, 6w - w to the cube root when w=288 is approximately equal to 11.09.