1.

`sqrt(11+2sqrt(30))-1/(sqrt(11+2sqrt(30))` का मान ज्ञात करें।A. `2sqrt(5)`B. `2sqrt(6)`C. `1+sqrt(6)`D. `1+sqrt(5)`

Answer» Correct Answer - A
`sqrt(11+2sqrt(30))-1/(sqrt(11+2sqrt(30)))`
`impliessqrt((sqrt(6))^(2)+(sqrt(5))^(2)+2sqrt(6).sqrt(5))`
`-1/(sqrt((sqrt(6))^(2)+(sqrt(5))^(2)+2sqrt(6).sqrt(5)))`
`impliessqrt((sqrt(6)+sqrt(5))^(2))-1/(sqrt((sqrt(6)+sqrt(5))^(2)))`
`impliessqrt(6)+sqrt(5)-1/(sqrt(6)+sqrt(5))`
Relationalising above question
`impliessqrt(6)+sqrt(5)-1/(sqrt(6)+sqrt(5))xx(sqrt(6)-sqrt(5))/(sqrt(6)-sqrt(5))`
`impliessqrt(6)+sqrt(5)-(sqrt(6)-sqrt(5))`
`impliessqrt(6)+sqrt(5)-sqrt(6)+sqrt(5)`
`implies2sqrt(5)`


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