InterviewSolution
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InterviewSolution
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Show that:`1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sqrt(6)-sqrt(5))+1/(sqrt(5)-2)=5` |
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Answer» LHS `1/(3-sqrt8)-1/(sqrt8-sqrt7)+1/(sqrt7-sqrt6)-1/(sqrt6-sqrt5)+1/(sqrt5-2)` `(3+sqrt8)/(3^2-sqrt8^2)-(sqrt8+sqrt7)/(sqrt8^2-sqrt7^2)+(sqrt7+sqrt6)/(sqrt7^2-sqrt6^2)-(sqrt6+sqrt5)/(sqrt6^2-sqrt5^2)+(sqrt5+2)/(sqrt5-2^2)` `3+sqrt3-sqrt8-sqrt7+sqrt7+sqrt8-sqrt6-sqrt5+sqrt5+2` `5=RHS`. |
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