I'm really having a hard time with this. It deals with distance formula.
As you can see from that picture, I tried solving the problem and got 117 as an answer. But my teacher told me the answer was 3√13 but I have no idea how.
Please elaborately explain to me how I could arrive to the correct answer. Thank You
Now, 117 = 9 * 13, so
sqrt(117) = sqrt(9*13)
but. we know sqrt(a*b) = sqrt(a)sqrt(b) [exponent rule], so
sqrt(9*13) = sqrt(9)*sqrt(13) = 3 * sqrt(13), and we are done.