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`(3sqrt(2))/(sqrt(3)+sqrt(6))-(4sqrt(3))/(sqrt(6)+sqrt(2))+(sqrt(6))/(sqrt(3)+sqrt(2))` का मान ज्ञात करें।A. `4`B. `0`C. `sqrt(2)`D. `3sqrt(6)` |
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Answer» Correct Answer - B `(3sqrt(2))/(sqrt(3)+sqrt(6))-(4sqrt(3))/(sqrt(6)+sqrt(2))+(sqrt(6))/(sqrt(3)+sqrt(2))` (rationalisation) `=(3sqrt(2))/(sqrt(3)+sqrt(6))xx(sqrt(6)-sqrt(3))/(sqrt(6)-sqrt(3))-(4sqrt(3))/(sqrt(6)+sqrt(2))xx(sqrt(6)-sqrt(2))/(sqrt(6)-sqrt(2))` `+(sqrt(6))/(sqrt(3)+sqrt(2))xx(sqrt(3)-sqrt(2))/(sqrt(3)-sqrt(2))` `implies (3sqrt(2)(sqrt(6)-sqrt(3)))/(6-3)-((4sqrt(3)(sqrt(6)-sqrt(2))/(6-2))+` `=(sqrt(6)(sqrt(3)-sqrt(2))/(3-2)` `impliessqrt(12)-sqrt(6)-(sqrt(18)-sqrt(6))+sqrt(18)-sqrt(12)` `impliessqrt(12)-sqrt(6)-sqrt(18)+sqrt(6)+sqrt(18)-sqrt(12)=0` |
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