Solve (2-3/4)^2+(-2/4)^2

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

Evaluate

$$\frac{29}{16}=1.8125$$

Solution Steps

Subtract \frac{3}{4} from 2 to get \frac{5}{4}.

$$\left(\frac{5}{4}\right)^{2}+\left(-\frac{2}{4}\right)^{2}$$

Calculate \frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$\frac{25}{16}+\left(-\frac{2}{4}\right)^{2}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{25}{16}+\left(-\frac{1}{2}\right)^{2}$$

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{25}{16}+\frac{1}{4}$$

Add \frac{25}{16} and \frac{1}{4} to get \frac{29}{16}.

$$\frac{29}{16}$$

Factor

$$\frac{29}{2 ^ {4}} = 1\frac{13}{16} = 1.8125$$