Answer:
The answer to your question is 12/7 - 4[tex]\sqrt{2}[/tex]/ 7
Step-by-step explanation:
Data
[tex]\frac{4}{3 - \sqrt{2}}[/tex]
Process
1.- Multiply by the reciprocal of the denominator
The reciprocal is 3 + [tex]\sqrt{2}[/tex]
[tex]\frac{4}{3 - \sqrt{2}} \frac{3 + \sqrt{2}}{3 + \sqrt{2}}[/tex]
-Simplification
[tex]\frac{(4)(3) + 4\sqrt{2}}{3^{2} - 2}[/tex]
-Expand
= [tex]\frac{12 + 4\sqrt{2}}{9 - 2}[/tex] = [tex]\frac{12 - 4\sqrt{2}}{7}[/tex]
-Result
12/7 - 4[tex]\sqrt{2}[/tex]/ 7 It think it is not possible to simplify more.
