Question

น. 7D%20%29%20%20%7B4%7D" id="TexFormula1" title="x = 1 - \sqrt{2} find \:(x - \frac{1}{x} ) {4}" alt="x = 1 - \sqrt{2} find \:(x - \frac{1}{x} ) {4}" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

Step-by-step explanation:

$\frac{1}{x}=\frac{1}{1-\sqrt{2}}\\\\=\frac{1*(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1^{2}-(\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1-2}\\\\=\frac{1+\sqrt{2}}{-1}\\\\= -[1+\sqrt{2}]\\\\x-\frac{1}{x}=1-\sqrt{2}-(-[1+\sqrt{2}])\\\\=1-\sqrt{2}+1+\sqrt{2}\\\\=2$