sqrt363 - 3sqrt27
We can simplify this expression by first simplifying the terms inside the square roots:
sqrt(363) = sqrt(121 × 3) = sqrt(121) × sqrt(3) = 11sqrt(3)
3sqrt(27) = 3sqrt(9 × 3) = 3 × 3sqrt(3) = 9sqrt(3)
So the expression becomes:
11sqrt(3) - 9sqrt(3)
Taking the difference of these terms gives:
2sqrt(3)
Therefore, sqrt(363) - 3sqrt(27) simplified is 2sqrt(3).