√a*b=3√2
a*b=(3√2)²
a*b=18
√b*c=6⇒b*c=36⇒b=[tex] \frac{36}{c} [/tex]
√a*c=2√6⇒a*c=24⇒a=[tex] \frac{24}{c} [/tex]
[tex] \frac{36}{c} * \frac{24}{c} =18[/tex]
18c²=864
c²=48
c=4√3
a=[tex] \frac{24}{4 \sqrt{3} } = 2\sqrt{3} [/tex]
b=[tex] \frac{36}{4 \sqrt{3} } =3 \sqrt{3} [/tex]
