Question

(5 + 2√2)( 5 - 2√2)

Answer 1

Answer:

Step-by-step explanation:

     $\frac{5+2\sqrt{2} }{5-2\sqrt{2} }$

= $\frac{5+2\sqrt{2} }{5-2\sqrt{2} } * \frac{5 + 2\sqrt{2} }{5+2\sqrt{2} }$ ( rationalization of denominator)

= $\frac{(5+2\sqrt{2} )^{2} }{5^{2} - (2\sqrt{2} ^{2} )} }$

= $\frac{25 + 20\sqrt{2} + 8 }{25-8}$

= $\frac{33+20\sqrt{2} }{17}$

Hope you will understand.....