Question

show 1/(3-√8)-1/(√8-√7)+1/(√7+√6)​

Answer 1

Answer:

3-√6

Step-by-step explanation:

First one--1/(3-√8)×3+√8/3+√8=3+√8/9-8=3+√8

Second one--1/(√8-√7)×√8+√7/√8+√7=√8+√7/8-7=√8+√7

Third one--1/(√7+√6)×√7-√6/√7-√6=√7-√6/7-6=√7-√6

According to the question--3+√8-(√8+√7)+√7-√6

                                           =3+√8-√8-√7+√7-√6

                                           =3-√6 (+√8 and -√8 get cancelled AND -√7                            

                                                        and +√7 get cancelled)

i hope the answer is correct and hope it helps! :)