Question

Use the distance formula to find The distance between the points (-1 ,3) and (2,6) write you answear as a square root, do not give me the decimal

Answer 1

d =
`3√(2)`

Explanation:

The distance formula is d =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2) -y_(1) )^(2) }`

Plug in the points.

d =
`\sqrt{(2-(-1))^(2)+(6 -3 )^(2) }`

Solve

d =
`√(18)`

Simplify by separating 18 into 9x2

d =
`√(9(2))`

Take the square root of 9 to finish simplifying

d =
`3√(2)`