To simplify the expression 14√27 - √3, we can simplify the radicals and then perform the subtraction:
First, let's simplify the radicals:
√27 = √(9 × 3) = √9 × √3 = 3√3
Now we can rewrite the expression:
14√27 - √3 = 14(3√3) - √3
Next, distribute the 14:
14(3√3) - √3 = 42√3 - √3
Finally, combine like terms:
42√3 - √3 = 41√3
So the simplified expression is 41√3.