Question

Find the distance between the two points in simplest radical form
(6,-4) and (1,-6)

Answer 1

Answer

`\sqrt29`

Explanation:

1. Write the distance formula:

`\sqrt(x_(2)-x_(1))^(2) + (y_(2)-y_(1))^(2)`

2. Substitute

Substitue (6, -4) and (1, -6) into

`\sqrt(x_(2)-x_(1))^(2) + (y_(2)-y_(1))^(2)`

`\sqrt(1 - 6) ^(2) + (-6 + 4)^(2)`

3. Calculate

`\sqrt(1 - 6) ^(2) + (-6 + 4)^(2)`

`\sqrt(-5) ^(2) + (-2)^(2)`

`\sqrt5 ^(2) + 2^(2)`

`\sqrt25 + 4`

`\sqrt29`