Question

√243- √162 + √300 - √50

Answer 1

Resposta:

$\sqrt{243}-\sqrt{162}+\sqrt{300}-\sqrt{50}$ = $19\sqrt{3}-14\sqrt{2}$

$\sqrt{243}=9\sqrt{3}\\\\\sqrt{162}=9\sqrt{2}\\\\\sqrt{300}=10\sqrt{3}\\\\\sqrt{50}=5\sqrt{2}$

$9\sqrt{3}-9\sqrt{2}+10\sqrt{3}-5\sqrt{2}$

Somar elementos similares: $-9\sqrt{2}-5\sqrt{2}=-14\sqrt{2}$

$9\sqrt{3}-14\sqrt{2}+10\sqrt{3}$

Somar elementos similares: $9\sqrt{3}+10\sqrt{3}=19\sqrt{3}$

$19\sqrt{3}-14\sqrt{2}$