Solve {left(1+1/2right)}^2-sqrt{2+0.25}-3/5

$${ \left(1+ \frac{ 1 }{ 2 } \right) }^{ 2 } - \sqrt{ 2+0.25 } - \frac{ 3 }{ 5 }$$

Evaluate

$$0.15$$

Solution Steps

Add 1 and \frac{1}{2} to get \frac{3}{2}.

$$\left(\frac{3}{2}\right)^{2}-\sqrt{2+0.25}-\frac{3}{5}$$

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{9}{4}-\sqrt{2+0.25}-\frac{3}{5}$$

Add 2 and 0.25 to get 2.25.

$$\frac{9}{4}-\sqrt{2.25}-\frac{3}{5}$$

Calculate the square root of 2.25 and get 1.5.

$$\frac{9}{4}-1.5-\frac{3}{5}$$

Subtract 1.5 from \frac{9}{4} to get \frac{3}{4}.

$$\frac{3}{4}-\frac{3}{5}$$

Subtract \frac{3}{5} from \frac{3}{4} to get \frac{3}{20}.

$$\frac{3}{20}$$

Factor

$$\frac{3}{5 \cdot 2 ^ {2}} = 0.15$$