Solve (4+sqrt{9}-2^2)*22/3

$$( 4 + \sqrt { 9 } - 2 ^ { 2 } ) \times 2 \frac { 2 } { 3 }$$

Evaluate

$$8$$

Solution Steps

Calculate the square root of 9 and get 3.

$$\left(4+3-2^{2}\right)\times \frac{2\times 3+2}{3}$$

Add 4 and 3 to get 7.

$$\left(7-2^{2}\right)\times \frac{2\times 3+2}{3}$$

Calculate 2 to the power of 2 and get 4.

$$\left(7-4\right)\times \frac{2\times 3+2}{3}$$

Subtract 4 from 7 to get 3.

$$3\times \frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$3\times \frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$3\times \frac{8}{3}$$

Cancel out 3 and 3.

$$8$$

Factor

$$2^{3}$$