Solve =frac{sqrt{(5-5)^2+(-3-7)^2}}{2}

$$= \frac { \sqrt { ( 5 - 5 ) ^ { 2 } + ( - 3 - 7 ) ^ { 2 } } } { 2 }$$

Evaluate

$$5$$

Solution Steps

Subtract 5 from 5 to get 0.

$$\frac{\sqrt{0^{2}+\left(-3-7\right)^{2}}}{2}$$

Calculate 0 to the power of 2 and get 0.

$$\frac{\sqrt{0+\left(-3-7\right)^{2}}}{2}$$

Subtract 7 from -3 to get -10.

$$\frac{\sqrt{0+\left(-10\right)^{2}}}{2}$$

Calculate -10 to the power of 2 and get 100.

$$\frac{\sqrt{0+100}}{2}$$

Add 0 and 100 to get 100.

$$\frac{\sqrt{100}}{2}$$

Calculate the square root of 100 and get 10.

$$\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$5$$

Factor

$$5$$