Solve (8/7-1/2)^2+(3/4-3/7)^2

$$( \frac { 8 } { 7 } - \frac { 1 } { 2 } ) ^ { 2 } + ( \frac { 3 } { 4 } - \frac { 3 } { 7 } ) ^ { 2 }$$

Evaluate

$$\frac{405}{784}\approx 0.516581633$$

Solution Steps

Subtract \frac{1}{2} from \frac{8}{7} to get \frac{9}{14}.

$$\left(\frac{9}{14}\right)^{2}+\left(\frac{3}{4}-\frac{3}{7}\right)^{2}$$

Calculate \frac{9}{14} to the power of 2 and get \frac{81}{196}.

$$\frac{81}{196}+\left(\frac{3}{4}-\frac{3}{7}\right)^{2}$$

Subtract \frac{3}{7} from \frac{3}{4} to get \frac{9}{28}.

$$\frac{81}{196}+\left(\frac{9}{28}\right)^{2}$$

Calculate \frac{9}{28} to the power of 2 and get \frac{81}{784}.

$$\frac{81}{196}+\frac{81}{784}$$

Add \frac{81}{196} and \frac{81}{784} to get \frac{405}{784}.

$$\frac{405}{784}$$

Factor

$$\frac{3 ^ {4} \cdot 5}{2 ^ {4} \cdot 7 ^ {2}} = 0.5165816326530612$$