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

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

Evaluate

$$5$$

Solution Steps

The opposite of -2 is 2.

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

Add 2 and 2 to get 4.

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

Calculate 4 to the power of 2 and get 16.

$$\sqrt{16+\left(2-5\right)^{2}}$$

Subtract 5 from 2 to get -3.

$$\sqrt{16+\left(-3\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$\sqrt{16+9}$$

Add 16 and 9 to get 25.

$$\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$5$$

Factor

$$5$$