1.

`sqrt(5+2sqrt(6))-1/(sqrt(5+2sqrt(6))` का मान क्या है?A. `2sqrt(2)`B. `2sqrt(3)`C. `1+sqrt(5)`D. `sqrt(5)-1`

Answer» Correct Answer - A
`(sqrt(5+2sqrt(6))-1/(sqrt(5+2sqrt(6)))`
`implies (sqrt(3)+sqrt(2))-1/((sqrt(3)+sqrt(2)))`
`[(sqrt(5+2sqrt(6))=sqrt((sqrt(3)+sqrt(2))^(2))impliessqrt(3)+sqrt(2)),(a^(2)+b^(2)+2ab=(a+b)^(2))]`
`impliessqrt(3)+sqrt(2)-(1/(sqrt(3)+sqrt(2))xx(sqrt(3)-sqrt(2))/(sqrt(3)-sqrt(2)))`
`impliessqrt(3)+sqrt(2)-((sqrt(3)-sqrt(2))/(3-2))`
`impliessqrt(3)+sqrt(2)-sqrt(3)+sqrt(2)`
`implies 2sqrt(2)`


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