Question

2+√13/2-√13 please I can't understand this please factories this​

Answer 1

Answer:

(- 17 - 4√13) / 9

Step-by-step explanation:

2+√13/2-√13 × 2+√13/2+√13

*take conjugate*

= (2+√13)(2+√13) / (2-√13)(2+√13)

= (2+√13)² / 2² - (√13)²

*Identity — (a+b)(a-b) = a² - b²*

= 2²+(√13)²+2(2)(√13) / 4 - 13

*Identity — (a+b)² = a²+b²+2ab*

= 4+13+4√13 / - 9

= 17 + 4√13 / -9

= - (17 + 4√13)/9

= (- 17 - 4√13) / 9

Hope it helps you:)