Question

Simplify: 2√27 + 3√12 / 4√3​

Answer 1

=>2√27 + 3√12 / 4√3

=>2√9×3 + 3√4×3 / 4√3

=>2×3√3 + 3×2√3 / 4√3

=>6√3 + 6√3 / 4√3

=>12√3 / 4√3

=>3

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Answer 2

Step-by-step explanation:

$2 \sqrt{27} + \frac{ 3\sqrt{12} }{4 \sqrt{3} } \\ = 2 \sqrt{9 \times 3} + \frac{3 \sqrt{4 \times 3} }{4 \sqrt{3} } \\ = 2 \sqrt{ {3}^{2} \times 3 } + \frac{3 \sqrt{ {2}^{2} \times 3 } }{4 \sqrt{3} } \\ = 2 \times 3 \sqrt{3} + \frac{3 \times 2 \sqrt{3} }{4 \sqrt{3} } \\ = 6 \sqrt{3} + \frac{6 \sqrt{3} }{4 \sqrt{3} } \\ \boxed{= \underline{ \underline{6 \sqrt{3} + \frac{3}{2} }}}$