Answer:
[tex]\frac{19-6\sqrt{2} }{4}[/tex]
(2.6286797)
Step-by-step explanation:
[tex](\frac{2}{3\sqrt{2}-1 })^2 = \frac{4(19+6\sqrt{2})}{289}[/tex]
for fractions, 1 / x / y = y / x
[tex]\frac{1}{\frac{x}{y} } = \frac{y}{x}[/tex]
so, we are left with:
[tex]\frac{289}{4(19+6\sqrt{2})}[/tex]
then we cancel into [tex]\frac{19-6\sqrt{2} }{4}[/tex]
and that's your answer :)
[tex]\frac{19-6\sqrt{2} }{4} = 2.62867965644[/tex]
(you don't need it to be that exact but it's fun to write unnecessarily long decimals)
so, in decimal form: 2.6286797
hope this is helpful!!