Question

Find the distance between (4 sqrt 2, -3) and (5 sqrt 2, 2). express answer in simplest form.
its a multiple choice question
A) sqrt 163
B) 81 sqrt 2
C) 3 sqrt 3
D) sqrt 3

Answer 1

considering dat u know the distance formula, the answer is:C
and d'u know it?

Answer 2

confused....

Answer 3

its C. got it

Answer 4

okie,
now the 2 points are
\[(4\sqrt{2},-3) and (5\sqrt{2},2)\]
distance formula states: distance between 2 points (x1,y1) and (x2,y2) is : sqrt((x2-x1)^2+(y2-y1)^2);
so we do the same:
sqrt((5root2-4root2)^2+(2-(-3))^2)
now 5root2-4root2=root2
this is normal subtraction,
take root2 out u get,
root2(5-4)
so squaring it u hav 2+5^2=27
which is 3^2*3 and so C.

Answer 5

thanks