show 1/(3-√8)-1/(√8-√7)+1/(√7+√6)
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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! :)
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