Question

Calcule V72 + Va = 11 V2 e encontre o valor de A

Answer 1

Fatorando o 72.

72:2
36:2
18:2
9:3
3:3
0

$\sqrt{2^{3}}$ · $\sqrt{3^{2}}$ + $\sqrt{a}$= 11$\sqrt{2}$
=
$\sqrt{ 2^{2}}$·$\sqrt{2}$· $\sqrt{3^{2}}$ +$\sqrt{a}$
3·2$\sqrt{2}$ + $\sqrt{a}$
6$\sqrt{2}$+$\sqrt{a}$ = 11$\sqrt{2}$
$\sqrt{a}$ = 11$\sqrt{2}$ - 6$\sqrt{2}$
$\sqrt{a}$ = 5$\sqrt{2}$
$\sqrt{a}$ = $\sqrt{2}$ · $\sqrt{ 5^{2}}$
$\sqrt{a}$ = $\sqrt{50}$
a = 50