`(sqrt(5))/(sqrt(3)+sqrt(2))-(3sqrt(3))/(sqrt(5)+sqrt(2))+(2sqrt(2))/(sqrt(5)+sqrt(2))+(2sqrt(2))/(sqrt(5)+sqrt(3))` के बराबर है।
`(sqrt(5))/(sqrt(3)+sqrt(2))-(3sqrt(3))/(sqrt(5)+sqrt(2))+(2sqrt(2))/(sqrt(5)+sqrt(2))+(2sqrt(2))/(sqrt(5)+sqrt(3))` के बराबर है।
A. `0`
B. `2sqrt(15)`
C. `2sqrt(10)`
D. `2sqrt(6)`
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Correct Answer - A
`(sqrt(5))/(sqrt(3))+sqrt(2)-(3sqrt(3))/(sqrt(5)+sqrt(2))+(2sqrt(2))/(sqrt(5)+sqrt(3))`
`implies (sqrt(5))/(sqrt(3)+sqrt(2))xx((sqrt(3)-sqrt(2)))/(sqrt(3)-sqrt(2))-`
`((3sqrt(3))/(sqrt(5)+sqrt(2))xx(sqrt(5)-sqrt(2))/((sqrt(5)-sqrt(2)))+(2sqrt(2))/(sqrt(5)+sqrt(3))((sqrt(5)-sqrt(3)))/((sqrt(5)-sqrt(3))))`
`implies (sqrt(15)-sqrt(10))/(3-2)-(3sqrt(3)(sqrt(5)-sqrt(2)))/(5-2)`
`+(2sqrt(2)(sqrt(5)-sqrt(3)))/(5-3)`
`impliessqrt(15)-sqrt(10)-(sqrt(15)-sqrt(6))+sqrt(10)-sqrt(6)`
`implies sqrt(15)-sqrt(10)-sqrt(15)+sqrt(6)+sqrt(10)-sqrt(6)`
`0`
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