Find the value of 'O' and b
a) 5+2square root 3 ÷ 7+4square root 3 = a+bsquareroot 3
pls send me answer
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Answer:
7+4 3
5+2 3
=a+b 3
Since rationalization of c+ d a+b = c+ d a+ b × c− dc− d
Taking L.H.S.
By rationalization,
7+435+23
= 7+4 3 5+2 3 × 7−4 7−4 3
Since, {(a+b)(a−b)=a 2 −b 2 }
= [(7) 2 −(43 ) 2 ](5+2 3 )×(7−4 3 )
= 49−16 33
35+14
3 −20 3 −8 33
= 49−4835− 3
(14−8)−24
= 135− 3 (6)−24 =11−6 3
Hence, by comparing a = 11 & b = -6.
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