Question

Cálcule o valor da expressão:

Answer 1

$6\sqrt{45}~-~12\sqrt{48}~+~6\sqrt{108}~-~10\sqrt{20}\\\\\\6\sqrt{3~.~3~.~5}-12\sqrt{2~.~2~.~2~.~2~.~3}+6\sqrt{2~.~2~.~3~.~3~.~3}-10\sqrt{2~.~2~.~5}\\\\\\6\sqrt{3^2~.~5}~-~12\sqrt{2^2~.~2^2~.~3}~+~6\sqrt{2^2~.~3^2~.~3}~-~10\sqrt{2^2~.~5}\\\\\\6~.~3\sqrt{5}~-~12~.~2~.~2\sqrt{3}~+~6~.~2~.~3\sqrt{3}~-~10~.~2\sqrt{5}\\\\\\18\sqrt{5}~-~48\sqrt{3}~+~36\sqrt{3}~-~20\sqrt{5}\\\\\\\boxed{-12\sqrt{3}\,-\,2\sqrt{5}}$