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The problem asks to simplify the expression $4\sqrt{3} + 2\sqrt{3}$.

ArithmeticRadicalsSimplificationSquare Roots
2025/4/15

1. Problem Description

The problem asks to simplify the expression 43+234\sqrt{3} + 2\sqrt{3}.

2. Solution Steps

We can factor out the 3\sqrt{3} from both terms:
43+23=(4+2)34\sqrt{3} + 2\sqrt{3} = (4+2)\sqrt{3}
Then we simplify the sum in the parenthesis:
(4+2)3=63(4+2)\sqrt{3} = 6\sqrt{3}

3. Final Answer

636\sqrt{3}

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