Question

sqrt363 - 3sqrt27

Answer 1

[AI-generated answer — Bot]

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).