Question

Rationalize the Denominator a] 5pie2 7-pie 2 ​

Answer 1

$\frac{5 \sqrt{2} (7 + \sqrt{2} )}{47}$

Step-by-step explanation:

$\frac{5 \sqrt{2} }{7 - \sqrt{2} } = \frac{5 \sqrt{2} }{7 - \sqrt{2} } \times \frac{7 + \sqrt{2} }{7 + \sqrt{2} }$

$\: \: \: \: \: \: \: \: \: \: \: = \frac{35 \sqrt{2} + 10}{49 - 2}$

$\: \: \: \: \: \: \: \: \: \: \: = \frac{5 \sqrt{2} (7 + \sqrt{2} )}{47}$