Question

3√2÷√8√6÷-4√3÷√6+√2÷+√6÷√2+√3
Solve

Answer 1

Answer:

2.513✔✔

Step-by-step explanation:

$\frac{3 \sqrt{2} }{ \sqrt{8} \sqrt{6} } \times \frac{ \sqrt{6 } + \sqrt{2} }{4 \sqrt{3} } \times \frac{2 + \sqrt{3} }{ \sqrt{6} } \\ = \frac{3 \sqrt{12} + 3 \times 4 }{4 \sqrt{144} } \times \frac{2 + \sqrt{3} }{ \sqrt{6} } \\ = \frac{6 \sqrt{2 } + 12 }{48} \times \frac{2 + \sqrt{3} }{ \sqrt{6} } \\ = \frac{12 \sqrt{2} + 6 \sqrt{6} + 24 + 12 \sqrt{3} } {48 \sqrt{6} } \\ = \frac{6 \sqrt{2} ( 6 + \sqrt{3}) + 12(2 + \sqrt{3} ) }{6 \sqrt{2} \times8 \sqrt{3} } \\ = \frac{(6 + \sqrt{3}) (2 + \sqrt{3}) + 12 }{8 \sqrt{3} } \\ = \frac{12 + 6 \sqrt{3} + 2 \sqrt{3} + 9 }{8 \sqrt{3} } \\ = \frac{21 + 8 \sqrt{3} }{8 \sqrt{3} } \times \frac{8 \sqrt{3} }{8 \sqrt{3} } \\ = \frac{168 \sqrt{3} + 192 }{192} \\ = \frac{290.64 + 192}{192} \\ = \frac{482.64}{192} \\ = 2.513$

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