Solve sqrt{(0-1)^2+(3-2)^2}

$$\sqrt { ( 0 - 1 ) ^ { 2 } + ( 3 - 2 ) ^ { 2 } }$$

Evaluate

$$\sqrt{2}\approx 1.414213562$$

Solution Steps

Subtract 1 from 0 to get -1.

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

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

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

Subtract 2 from 3 to get 1.

$$\sqrt{1+1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\sqrt{1+1}$$

Add 1 and 1 to get 2.

$$\sqrt{2}$$