Solve d=sqrt{(5-2)^2+(4-2)^2}

$$d = \sqrt { ( 5 - 2 ) ^ { 2 } + ( 4 - 2 ) ^ { 2 } }$$

Solve for d

$$d=\sqrt{13}\approx 3.605551275$$

Steps for Solving Linear Equation

Subtract 2 from 5 to get 3.

$$d=\sqrt{3^{2}+\left(4-2\right)^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$d=\sqrt{9+\left(4-2\right)^{2}}$$

Subtract 2 from 4 to get 2.

$$d=\sqrt{9+2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$d=\sqrt{9+4}$$

Add 9 and 4 to get 13.

$$d=\sqrt{13}$$

Assign d

$$d≔\sqrt{13}$$