Question

simplify by combining similar terms:
$5 \sqrt{3} + 2 \sqrt{27} + \frac{1}{ \sqrt{3} }$
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Answer 1

Answer:

$5 \sqrt{3} + 2 \sqrt{27} + \frac{1}{ \sqrt{3} } \\ = 5 \sqrt{3} + 2 \sqrt{9 \times 3} + \frac{1}{ \sqrt{3} } \\ = 5 \sqrt{3} + 2 \times 3 \sqrt{3} + \frac{1}{ \sqrt{3} } \\ = 5 \sqrt{3} + 6 \sqrt{3} + \frac{1}{ \sqrt{3} } \\ = 11 \sqrt{3} + \frac{1}{ \sqrt{3} } \\ = \frac{11 \sqrt{3} \times \sqrt{3} + 1 }{ \sqrt{3} } \\ = \frac{11 \times 3 + 1}{ \sqrt{3} } \\ = \frac{33 + 1}{ \sqrt{3} } \\ = \frac{34}{ \sqrt{3} }$