Question

rationalize
$1 \div 5 - \sqrt{2}$
​

Answer 1

Step-by-step explanation:

$\frac{1}{5 - \sqrt{2} } \\ \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ \frac{5 + \sqrt{2} }{(5) {}^{2} - ( \sqrt{2} ) {}^{2} } \\ \frac{5 + \sqrt{2} }{25 - 2} \\ \frac{5 + \sqrt{2} }{23} \: \: \: \: \: \: \: ans$