Question

2. O resultado da expressão em sua forma mais simples é:
(A) (B) (C) (D) ??

Answer 1

Respeitando a ordem abaixo:

1- Radiciação

2- potenciação

3- multiplicação

4 - divisão

5 - soma

6- subtração

===== Tudo dará certo =====

3 × 9/4 - { [ ( 2/3)² + 2 ] ÷ √(4/9)}

3 × 9/4 - { [ (2/3)² + 2 ] ÷ 2/3 }

3 × 9/4 - { [ 4/9 + 2 ] ÷ 2/3 }

27/4 - { 22/9 ÷ 2/3 }

27/4 - 66/18

27/4 - 11/3

37/12

Letra (B)

atte Colossoblack

Answer 2

$\Large{\begin{array}{l}\sf3\cdot\dfrac{9}{4}-\left\{\sf\left[\sf\left(\sf\dfrac{2}{3}\right)^2+2\right]\div\sqrt{\dfrac{4}{9}}\right\}\\\\\sf3\cdot\dfrac{9}{4}-\left\{\sf\left[\left(\dfrac{2}{3}\right)^2+2\right]\div\dfrac{2}{3}\right\}\\\\\sf3\cdot\dfrac{9}{4}-\left\{\sf\left[\sf\dfrac{4}{9}+2\right]\div\dfrac{2}{3}\right\}\\\\\sf3\cdot\dfrac{9}{4}-\left\{\sf\left[\dfrac{22}{9}\right]\div\dfrac{2}{3}\right\}\\\\\sf\dfrac{27}{4}-\left\{\dfrac{22}{9}\div\dfrac{2}{3}\right\}\\\\\sf\dfrac{27}{4}-\left\{\dfrac{11}{3}\right\}\\\\\sf\dfrac{22}{4}-\dfrac{11}{3}\\\\\boxed{\boxed{\sf\dfrac{37}{12}}}\end{array}}$