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-4√3 - 2√3 + 5√3

Mathematics

ScanSolve AI Answer

Answer

−3-\sqrt{3}

Step-by-step solution

3 steps

Here's how to solve the expression:

−43−23+53-4\sqrt{3} - 2\sqrt{3} + 5\sqrt{3}

  1. Identify that all terms have the same radical, 3\sqrt{3}.

    This means they are like terms and can be combined by adding or subtracting their coefficients.

    (−4−2+5)3(-4 - 2 + 5)\sqrt{3}

  2. Perform the addition and subtraction of the coefficients.

    (−6+5)3(-6 + 5)\sqrt{3} (−1)3(-1)\sqrt{3}

  3. Simplify the expression.

    −3-\sqrt{3}
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