Question

Find distance between given points
(-4sqrt(3), 3sqrt(5)) and (-sqrt(3), sqrt(5))
I don't know how to work with the square roots here PLEASE HELP

Answer 1

Distance = \(\sqrt{x_2-x_1)^2 + (y_2-y_1)^2}\)
\[
x_2 - x_1 = -\sqrt{3} - (-4\sqrt{3}) = -\sqrt{3} +4\sqrt{3} = \sqrt{3}(-1+4) = 3\sqrt{3} \\
y_2 - y_1 = \sqrt{5} - 3\sqrt{5} = \sqrt{5}(1-3) = -2\sqrt{5} \\
\text{Distance = } \sqrt{x_2-x_1)^2 + (y_2-y_1)^2} =
\sqrt{(3\sqrt{3})^2 + (-2\sqrt{5})^2} = \\
\sqrt{27 + 20} = \sqrt{47}\\
\]

Answer 2

what did you do to get sqrt(27+20)?

Answer 3

oh i see nvm