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5+3√3/7+4√3 = a+ b√3First and the best answer will be marked as brainliest |
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Answer» -STEP explanation:5+2 3 =a+b 3 SINCE rationalization of c+ d a+ b = c+ d a+ b × c− d c− d Taking L.H.S.By rationalization,7+4 3 5+2 3 = 7+4 3 5+2 3 × 7−4 3 7−4 3 Since, {(a+b)(a−b)=a 2 −b 2 } = [(7) 2 −(4 3 ) 2 ](5+2 3 )×(7−4 3 ) = 49−16 3 3 35+14 3 −20 3 −8 3 3 = 49−4835− 3 (14−8)−24 = 135− 3 (6)−24 =11−6 3 Hence, by comparing a = 11 & b = -6. |
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