Step-by-step explanation: Given expression 2√27+√12-3√3-2√12.
Let us simplify each of the term one by one.
2√27 = 2 √3×3×3 = 2× 3 √3 = 6 √3
√12 = √2×2×3 = 2√3
3√3 it will remain as it is.
2√12 = 2 √2×2×3 = 2×2√3 = 4√3.
So, 2√27+√12-3√3-2√12 expression would become,
6 √3 + 2√3 - 3√3 - 4√3.
Now, we can see that all radicals are like radicals.
So, we can add/subtract like radicals, we get
(6+2-3-4)√3 = 1√3.
or √3.
