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

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