Question

Calcule

A/ √45+√20


B/√11+√44 -2√99

Answer 1

A) $\sqrt{45}$ + $\sqrt{20}$
transformando em potências:
$\sqrt{3^{2}.5}$ + $\sqrt{2^{2}.5}$
$3.\sqrt{5}$ + $2.\sqrt{5}$ = $5\sqrt{5}$


B) $\sqrt{11}$ + $\sqrt{44}$ - 2.$\sqrt{99}$
$1.\sqrt{11}$ + $\sqrt{4.11}$ - 2.$\sqrt{9.11}$
transformando em potências:
$1.\sqrt{11}$ + $\sqrt{2^{2}.11}$ - 2.$\sqrt{3^{2}.11}$
$1.\sqrt{11}$ + 2.$\sqrt{11}$ - (2.3).$\sqrt{11}$
$1\sqrt{11}$ + $2\sqrt{11}$ - $6\sqrt{11}$ = $- 3 \sqrt{11}$