Question

√3 x √12 =6 Qual a explicação do resultado?? Podem me dar os cálculos??

Answer 1

$\sqrt{3} \times \sqrt{12} = 6 \\\\\\ Tirando\ a\ prova\ real:\\\\ x=\sqrt{3} \times \sqrt{12}\\\\ x=\sqrt{3 \times 12}\\\\ x=\sqrt{36}\\\\\\ Decompondo\ o\ numero\ 36:\\\\ 36 | 2\\ 18|2\\ ~~9|3\\ ~~3|3\\ ~~1\\\\ 2\times2=2^2\\3 \times 3 = 3^2\\\\ 2^2 \times 3^2 = 36$


$Retornando\ a\ resolu\c{c}\~{a}o:\\\\ x=\sqrt{2^2 \times 3^2}\\\\ x=\not\sqrt{2^{\not2}} \times \not\sqrt{3^{\not2}}\\\\ x=2\times3\\\\ \boxed{x=6}\\\\\\ Portanto:\\\\ \boxed{\sqrt{3} \times \sqrt{12} = 6}$

Espero ter ajudado.
Bons estudos!