Verified answer

Step-by-step explanation:

[tex]if \: \sqrt{2 } = 1.4142 \\ then \\ \frac{7}{3 \sqrt{2} - 2 \sqrt{2} } \\ \frac{7}{3 \times 1.4142 - 2 \times 1.4142} \\ \frac{7}{4.2423 - 2.8284} \\ \frac{7}{1.4139} \\ 4.950[/tex]