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प्रत्येक को सरल कीजिए `(2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))` |
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Answer» अंश व हर को `2sqrt(2)+3sqrt(3)` के संयुग्मी `2sqrt(2)-3sqrt(3)` से गुणा करने पर `(2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))=(2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))xx(2sqrt(2)-3sqrt(3))/(2sqrt(2)-3sqrt(3))` `= (2sqrt(3)xx2sqrt(2)-2sqrt(3)xx3sqrt(3)-sqrt(5)xx2sqrt(2)+sqrt(5)xx3sqrt(3))/((2sqrt(2))^(2)-(3sqrt(3))^(2))` `= (4sqrt(3xx2)-6sqrt(3xx3)-2sqrt(5xx2)+3sqrt(5xx3))/(4xx2-9xx3)` `=(4sqrt(6)-6xx3-2sqrt(10)+3sqrt(15))/(8-27)=(4sqrt(6)-18-2sqrt(10)+3sqrt(15))/(-19)` `= (18+2sqrt(10)-4sqrt(6)-3sqrt(15))/(19)` |
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