Question

Simplify:3√75+18√48-√243​

Answer 1

Step-by-step explanation:

$3 \sqrt{75} + 5 \sqrt{48} - \sqrt{243} \\ \\ 3 \sqrt{3 \times 25} + 5 \sqrt{3 \times 16} - \sqrt{3 \times 81} \\ \\ = 3 \times 5 \sqrt{3} \: \: 5 \times 4 \sqrt{3 - 9} \sqrt{3} \\ \\ = 15 \sqrt{3} + 20 \sqrt{3} - 9 \sqrt{3} \\ \\ = 26 \sqrt{3} \: \: answer \:$

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