Question

Find
distance
(3,4)
(5,6)

Answer 1

X1 = 3, X2 = 5

Y1 = 4, Y2 = 6

Using the distance formula:

`\sqrt{(X2 - X1 {)}^(2) + (Y2 - Y1 {)}^(2) }`

Replace for the values.

`\sqrt{(5 - 3 {)}^(2) + (6 - 4 {)}^(2) }`

`→ \sqrt{(2 {)}^(2) + (2 {)}^(2) }`

`→ √(4 + 4) = √(8)`

`→ √(8) = √(4 * 2) \\→4 √(2) = 2 √(2)`

Therefore:
`2 √(2)` is the final answer.

I hope this helps