Solve sqrt{(3-4)^2+(-2-0)^2}

$$\sqrt { ( 3 - 4 ) ^ { 2 } + ( - 2 - 0 ) ^ { 2 } }$$

Evaluate

$$\sqrt{5}\approx 2.236067977$$

Solution Steps

Subtract 4 from 3 to get -1.

$$\sqrt{\left(-1\right)^{2}+\left(-2-0\right)^{2}}$$

Calculate -1 to the power of 2 and get 1.

$$\sqrt{1+\left(-2-0\right)^{2}}$$

Subtract 0 from -2 to get -2.

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

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

$$\sqrt{1+4}$$

Add 1 and 4 to get 5.

$$\sqrt{5}$$