Question

how to find its answer

Answer 1

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Here is your answer
$3 \sqrt{48} - \frac{5}{2} \sqrt{ \frac{1}{3} } + 4 \sqrt{3} \\ = 3 \sqrt{16 \times 3} + 4 \sqrt{3} - \frac{5}{2 \sqrt{3} } \\ = 3 \times 4 \sqrt{3} + 4 \sqrt{3} - \frac{5}{2 \sqrt{3} } \\ = 12 \sqrt{3} + 4 \sqrt{3} - \frac{5}{2 \sqrt{3} } \\ = 16 \sqrt{3} - \frac{5}{2 \sqrt{3} } \\ = \frac{(32 \times 3 ) - 5}{2 \sqrt{3} } \\ = \frac{96 - 5}{2 \sqrt{3} } \\ = \frac{91}{2 \sqrt{3} } \\ = \frac{91 \sqrt{3} }{2 \sqrt{3} \times \sqrt{3} } \\ = \frac{91 \sqrt{3} }{2 \times 3} \\ = \frac{91 \sqrt{3} }{6}$

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