1.

माना कि `a=1/(2-sqrt(3))+1/(2-sqrt(3))+1/(3-sqrt(8))+1/(4-sqrt(15))` है तोA. `alt18` but `a!=9`B. `alt 18`C. `a=18`D. `a=9`

Answer» Correct Answer - A
`1/(2-sqrt(3))+1/(3-sqrt(8))+1/(4-sqrt(15))`
`implies1/(2-sqrt(3))xx(2+sqrt(3))/(2+sqrt(3))+1/(3-sqrt(8))xx(3+sqrt(8))/(3+sqrt(8))`
`+1/(4-sqrt(15))xx(4+sqrt(15))/(4+sqrt(15))`
`implies (2+sqrt(3))/(4-3)+(3+sqrt(3))/(9-8)+(4+sqrt(15))/(16-15)`
`implies9+sqrt(3)+2sqrt(3)+sqrt(15)`
`a=9lt9+sqrt(3)+2sqrt(2)+sqrt(15)lt18`
`sqrt(3)=1.73, sqrt(2)=1.41, sqrt(15)=3.9`
`implies 9lt9+1.73+(2xx1.41)+3.9`
`17.4lt18`


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