Solve d=sqrt{(4-8)^2+(-2-(-1))^2}

$$d = \sqrt { ( 4 - 8 ) ^ { 2 } + ( - 2 - ( - 1 ) ) ^ { 2 } }$$

Solve for d

$$d=\sqrt{17}\approx 4.123105626$$

Steps for Solving Linear Equation

Subtract 8 from 4 to get -4.

$$d=\sqrt{\left(-4\right)^{2}+\left(-2-\left(-1\right)\right)^{2}}$$

Calculate -4 to the power of 2 and get 16.

$$d=\sqrt{16+\left(-2-\left(-1\right)\right)^{2}}$$

The opposite of -1 is 1.

$$d=\sqrt{16+\left(-2+1\right)^{2}}$$

Add -2 and 1 to get -1.

$$d=\sqrt{16+\left(-1\right)^{2}}$$

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

$$d=\sqrt{16+1}$$

Add 16 and 1 to get 17.

$$d=\sqrt{17}$$

Assign d

$$d≔\sqrt{17}$$