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

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

Evaluate

$$2$$

Solution Steps

Subtract \frac{5}{2} from \frac{1}{2} to get -2.

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

Calculate -2 to the power of 2 and get 4.

$$\sqrt{4+\left(\frac{1}{3}-\frac{1}{3}\right)^{2}}$$

Subtract \frac{1}{3} from \frac{1}{3} to get 0.

$$\sqrt{4+0^{2}}$$

Calculate 0 to the power of 2 and get 0.

$$\sqrt{4+0}$$

Add 4 and 0 to get 4.

$$\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$2$$

Factor

$$2$$