Question

dados os numeros reais A=10√27,B=8√15 e C=20√6,determine o valor de: D:A•B•C

Answer 1

$A=10 \sqrt{27} \\ B=8 \sqrt{15} \\ C=20 \sqrt{6} \\ \\ D=A \times B \times C \\ \\ D=10\times8\times20 \sqrt{27\times15\times6} \\ \\ D=1600 \sqrt{2430} \\ \\ D=1600 \sqrt{2.3.3^2.3^2.5} \\ \\ D=1600.3.3 \sqrt{2.3.5} \\ \\ D=14400 \sqrt{30}$