2) -2 sqrt{3}+3 sqrt{27}

Question

Accepted Answer

Step:1 ：The question is asking to simplify the expression (-2 sqrt{3}+3 sqrt{27}).Step:2 ：First, we simplify the square roots. (sqrt{3}) is already in its simplest form, but (sqrt{27}) can be simplified to (3sqrt{3}).Step:3 ：Substitute (sqrt{27}) with (3sqrt{3}) in the original expression, we get (-2sqrt{3} + 3*3sqrt{3}).Step:4 ：Simplify the expression to get (-2sqrt{3} + 9sqrt{3}).Step:5 ：Combine like terms to get (7sqrt{3}).Step:6 ：So, the final answer is (boxed{7sqrt{3}}).

Answer

Step: 1 ：The question is asking to simplify the expression (-2 sqrt{3}+3 sqrt{27}).Step: 2 ：First, we simplify the square roots. (sqrt{3}) is already in its simplest form, but (sqrt{27}) can be simplified to (3sqrt{3}).Step: 3 ：Substitute (sqrt{27}) with (3sqrt{3}) in the original expression, we get (-2sqrt{3} + 3*3sqrt{3}).Step: 4 ：Simplify the expression to get (-2sqrt{3} + 9sqrt{3}).Step: 5 ：Combine like terms to get (7sqrt{3}).Step: 6 ：So, the final answer is (boxed{7sqrt{3}}).

2) $-2 \sqrt{3}+3 \sqrt{27}$

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