Solve 0.05+(2+2.3)^2:(3)8

$$0.05 + ( 2 + 2.3 ) ^ { 2 } : ( 3 ) 8$$

Evaluate

$$\frac{14807}{300}\approx 49.356666667$$

Solution Steps

Add 2 and 2.3 to get 4.3.

$$0.05+\frac{4.3^{2}}{3}\times 8$$

Calculate 4.3 to the power of 2 and get 18.49.

$$0.05+\frac{18.49}{3}\times 8$$

Expand \frac{18.49}{3} by multiplying both numerator and the denominator by 100.

$$0.05+\frac{1849}{300}\times 8$$

Multiply \frac{1849}{300} and 8 to get \frac{3698}{75}.

$$0.05+\frac{3698}{75}$$

Add 0.05 and \frac{3698}{75} to get \frac{14807}{300}.

$$\frac{14807}{300}$$

Factor

$$\frac{13 \cdot 17 \cdot 67}{3 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 49\frac{107}{300} = 49.35666666666667$$