Find the value of 5+√6/5-√6=a+b√6
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(5+√6)/(5-√6)=a+b√6
(5+√6)/(5-√6)
multiplying the conjugate
=(5+√6)(5+√6) / (5-√6)(5+√6)
= {(5+√6)^2}/( 25 - 6)
= 25 + 10√6 + 6) /(19)
= (31 + 10√6) /(19)
= 31/19 + 10√6/19
therefore a= 31/19 and b = 10/19 ( answer )
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