Solve (34/5-11/10)^2

$$( 3 \frac { 4 } { 5 } - 1 \frac { 1 } { 10 } ) ^ { 2 }$$

Evaluate

$$\frac{729}{100}=7.29$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\left(\frac{15+4}{5}-\frac{1\times 10+1}{10}\right)^{2}$$

Add 15 and 4 to get 19.

$$\left(\frac{19}{5}-\frac{1\times 10+1}{10}\right)^{2}$$

Multiply 1 and 10 to get 10.

$$\left(\frac{19}{5}-\frac{10+1}{10}\right)^{2}$$

Add 10 and 1 to get 11.

$$\left(\frac{19}{5}-\frac{11}{10}\right)^{2}$$

Subtract \frac{11}{10} from \frac{19}{5} to get \frac{27}{10}.

$$\left(\frac{27}{10}\right)^{2}$$

Calculate \frac{27}{10} to the power of 2 and get \frac{729}{100}.

$$\frac{729}{100}$$

Factor

$$\frac{3 ^ {6}}{2 ^ {2} \cdot 5 ^ {2}} = 7\frac{29}{100} = 7.29$$