Question

calcule: 3√2+2√18+3√72

Answer 1

Temos que:

$3\sqrt2 + 2\sqrt{18} + 3\sqrt{72} =$
$3\sqrt{2} + 3\cdot\sqrt{2\cdot3\cdot3} + 3\cdot\sqrt{2\cdot2\cdot2\cdot 3\cdot3\cdot3} =$
$3\sqrt{2} + 3\cdot\sqrt{2\cdot3^2} + 3\cdot\sqrt{2^3\cdot3^3} =$
$3\sqrt{2} + 3\cdot3\sqrt2 + 3\cdot6\sqrt{2} =$
$3\sqrt2 + 9\sqrt2 + 18\sqrt2 =$
$30\sqrt2$

Espero ter ajudado.