Question

efetue cada multiplicação e simplifique o resultado A:2 √10•5√30 B:8•√12•10√3 C:6√7•5√2•8√21

Answer 1

$A) \\ 2 \sqrt{10} \times5 \sqrt{30} = \\ 2.5 \sqrt{10.30} = \\ 10 \sqrt{300} = \\ 10 \sqrt{2^2.3.5^2} = \\ 10.2.5 \sqrt{3} =100 \sqrt{3} \\ \\ B) \\ 8 \sqrt{12} \times10 \sqrt{3} =8.10 \sqrt{12.3} =80 \sqrt{36} =80\times6=480 \\ \\ C) \\ 6 \sqrt{7} \times5 \sqrt{2} \times8 \sqrt{21} = \\ \\ 6.5.8 \sqrt{7.2.21} = \\ 240 \sqrt{294} = \\ 240 \sqrt{2.3.7^2} = \\ 240.7 \sqrt{2.3} =1680 \sqrt{6}$