Question

3-2sqaure root by 3+2 root 2

Answer 1

Answer:

$( \frac{11}{5} ) + ( - \frac{6}{5} \sqrt{2} )$

Step-by-step explanation:

$\frac{3 - \sqrt{2} }{3 + \sqrt{2} } \\ \\ = ( \frac{3 - \sqrt{2} }{3 + \sqrt{2} } ) \times ( \frac{3 - \sqrt{2} }{3 - \sqrt{2} } ) \\ \\ = \frac{ {(3 - \sqrt{2} )}^{2} }{ {3}^{2} - {( \sqrt{2}) }^{2} } \\ \\ = \frac{9 + 2 - 6 \sqrt{2} }{5} \\ = \frac{11 - 6 \sqrt{2} }{5} \\ \\ = ( \frac{11}{5} ) + ( - \frac{6}{5} \sqrt{2} )$

HOPE IT HELPS