Question

Help me write this is radical form

Answer 1

Answer:
`2√(2)`

That is the same as writing 2*sqrt(2) when using a keyboard.

======================================================

Work Shown:

`M = (x_1,y_1) = (-3,3) \text{ and } N = (x_2, y_2) = (-1,1)\\\\d = \text{Distance from M to N}\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-3-(-1))^2 + (3-1)^2)\\\\d = √((-3+1)^2 + (3-1)^2)\\\\d = √((-2)^2 + (2)^2)\\\\`

`d = √(4 + 4)\\\\d = √(8)\\\\d = √(4*2)\\\\d = √(4)*√(2)\\\\d = 2√(2)\\\\d \approx 2.828427\\\\`

The exact distance in simplified radical form is
`2√(2)` which you could type out as 2*sqrt(2)