Question

calcule 3√6× 3√9/ 3√2

Answer 1

Resposta:

$3 \sqrt{6} \times 3 \sqrt{9} \div3 \sqrt{2} = \\ 3 \sqrt{6} \times 3 \times 3 \div 3 \sqrt{2} = \\ \frac{27 \sqrt{6} }{3 \sqrt{2} } = \frac{27 \sqrt{6} }{3 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{27 \sqrt{6 \times 2} }{3 \times 2} = \\ \frac{9\sqrt{12} }{2} = \frac{9 \sqrt{2 ^{2} \times 3 } }{2} = \frac{9 \times 2 \sqrt{3} }{2} = 9 \sqrt{3}$