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Question

Simplify the expression: 75−27+12\sqrt{75} - \sqrt{27} + \sqrt{12}.

Verified Answer

434\sqrt{3}

Explanation & Step-by-Step Solving

Solving: Simplify to basic surds: 25×3−9×3+4×3=53−33+23=43\sqrt{25 \times 3} - \sqrt{9 \times 3} + \sqrt{4 \times 3} = 5\sqrt{3} - 3\sqrt{3} + 2\sqrt{3} = 4\sqrt{3}

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