MATH SOLVE

5 months ago

Q:
# Find the distance between points (6,5 sqaure root 2) and 4,square root 3). Help ASAP

Accepted Solution

A:

For this case we have that by definition, the distance between two points is given by:[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]We have the following points:[tex](6,5 \sqrt {2})\\(4,3 \sqrt {2})[/tex]Substituting:[tex]d = \sqrt {(4-6) ^ 2 + (3 \sqrt {2} -5 \sqrt {2}) ^ 2}\\d = \sqrt {(- 2) ^ 2 + (- 2 \sqrt {2}) ^ 2}\\d = \sqrt {4+ (4 * 2)}\\d = \sqrt {4 + 8}\\d = \sqrt {12}\\d = \sqrt {2 ^ 2 * 3}\\d = 2 \sqrt {3}[/tex]Answer:Option C