Question

simplify? 4+root 6/ 4-root 6​

Answer 1

Step-by-step explanation:

4+√6. 4+√6 × 4+√6

4-√6 =. 4-√6 ×. 4+√6

= (4+√6)^2

10

=22+8√6 / 10

=11+ 4√6 / 5

Answer 2

Answer:

this solved by rationalisation,

$\frac{4 + \sqrt{6} }{4 - \sqrt{6} } \times \frac{4 + \sqrt{6} }{4 + \sqrt{6} } \\ = \frac{ {(4 + \sqrt{6)} }^{2} }{ {4}^{2} - { \sqrt{6} }^{2} } = \frac{16 + 8 \sqrt{6} + 6 }{16 - 6} \\ = \frac{22 + 8 \sqrt{6} }{10} = \frac{2(11 + 4 \sqrt{6}) }{10} \\ \\ = \bold{\frac{11 + 4 \sqrt{6} }{5} } \\ hope \: it \: helps \: u...$