Question

Zapisz w postaci liczbę , gdzie a € W, b € W i c € N.

Answer 1

5√2 + 2√3     5√2 + 2√3            (5√2 + 2√3)²                    25 * 2 + 2 * 5√2 * 2√3 + 4 * 3

-------------- x -------------- = -------------------------------- = -------------------------------------------

5√2 - 2√3      5√2 + 2√3    (5√2 - 2√3)(5√2 + 2√3)          25 * 2 - 4 * 3

 

     50 + 20√6 + 12     62 + 20√6      31 + 10√6

= ---------------------- = --------------- = --------------- = 31/19 + 10/19√6

     50 - 12                       38                        19