Question

Anyone help me..........​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$1. \: \: \: \: \frac{6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} } \\ \\ = \frac{6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} } \times \frac{6 - 4 \sqrt{2} }{6 - 4 \sqrt{2} } \\ \\ = \frac{ {(6 - 4 \sqrt{2}) }^{2} }{ {(6)}^{2} - {(4 \sqrt{2} )}^{2} } \\ \\ = \frac{ {(6)}^{2} - 2 \times 6 \times 4 \sqrt{2} + {(4 \sqrt{2} )}^{2} }{36 - 32} \\ \\ = \frac{36 - 48 \sqrt{2} }{4} \\ \\ = \frac{12(3 - 4 \sqrt{2}) }{4} \\ \\ =3 (3- 4 \sqrt{2} ) \\ \\ = 9 - 12 \sqrt{2}$

$2. \: \: \: \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \\ \\ = \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \times \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} - \sqrt{5} } \\ \\ = \frac{ ({ \sqrt{7} - \sqrt{5} )}^{2} }{ { (\sqrt{7} )}^{2} -( { \sqrt{5}) }^{2} } \\ \\ = \frac{ { (\sqrt{7}) }^{2} - 2 \times \sqrt{7} \times \sqrt{5} + { (\sqrt{5}) }^{2} }{ {( \sqrt{7}) }^{2} - {(\sqrt{5})}^{2} } \\ \\ = \frac{7 - 2 \sqrt{35} + 5}{7 - 5} \\ \\ = \frac{12 - 2 \sqrt{35} }{2} \\ \\ = \frac{2(6 - \sqrt{35} )}{2} \\ \\ = 6 - \sqrt{35}$

Hope it helps you.........