Question

Solve: root 108 - root 96 + root 192 - root 54​

Answer 1

Answer:

$\sqrt{108} - \sqrt{96} + \sqrt{192} - \sqrt{54} \\ = \sqrt{2 \times 2 \times 3 \times 3 \times 3} - \sqrt{4 \times 4 \times 6} + \sqrt{2 \times 2 \times 4 \times 4 \times 3} - \sqrt{6 \times 3 \times 3} \\ = 2 \times 3 \sqrt{3} + 2 \times 4 \sqrt{3} - 3 \sqrt{6} \\ = 6 \sqrt{3} + 8 \sqrt{3} - 3 \sqrt{6} \\ = 6 + 8 \sqrt{3} - 3 \sqrt{6} \\ = 14 \sqrt{3} - 3 \sqrt{6} \\ \\ \\ this \: is \: the \: correct \: answer......$