Question

what is the distance between the following points (-2sqrt7,10)(4 sqrt 7, 8)

Answer 1

its simply a case of substitution into the distance formula

\[d = \sqrt{4\sqrt{7} + 2\sqrt{7})^2 + (8 - 10)^2}\]

now simplify and calculate...

Answer 2

d = sqrt(18+4 sqrt(7))

Answer 3

so the problem then becomes

\[d = \sqrt{(6\sqrt{7})^2 + (-2)^2}\]

Answer 4

so is it just 256

Answer 5

well you need to take the square root of 256

Answer 6

so 16

Answer 7

that's correct