Question

Usuń niewymierność z mianownika ułamka:

Answer 1

4√3                     4√3 *[ 1 - (√2 + √3) ]                      4√3 - 4√6 - 12

----------------- = -------------------------------------- = -------------------- =

1 + (√2 + √3)      [ 1 + (√2 + √3) ] *{ 1 - (√2 + √3)]      1² - (√2 + √3)²

 

 

4√3 - 4√6 - 12       4√3 - 4√6 - 12         2√6 - 2√3 + 6       (2√6 - 2√3 + 6 )*(2 - √6)

---------------- = ----------------------- = -------------------  = --------------------------- =

1 - 2 - 2√6 - 3            - 4 - 2√6                 2 + √6                  (2 + √6)(2 - √6)

 

4√6 - 12 - 4√3 + 2√18 + 12 - 6√6       -2√6 - 4√3 + 6√2

------------------------------------------ = ------------------- = √6 + 2√3 - 3√2

         4 - 6                                                  - 2