ind the distance between the points \( (8,10) \) and \( (1,3) \). White your answer as a whole number or a fully simplified radical expression. Do ot round. units

To find the distance between the points \( (8, 10) \) and \( (1, 3) \), we can use the **distance formula**: \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Plugging in the given points: \[ x_1 = 8,\ y_1 = 10,\ x_2 = 1,\ y_2 = 3 \] \[ \text{Distance} = \sqrt{(1 - 8)^2 + (3 - 10)^2} = \sqrt{(-7)^2 + (-7)^2} = \sqrt{49 + 49} = \sqrt{98} \] Now, simplify the radical: \[ \sqrt{98} = \sqrt{49 \times 2} = \sqrt{49} \times \sqrt{2} = 7\sqrt{2} \] **Answer:** The distance is \( 7\sqrt{2} \) units.