If a & b are rational number and 4+3√5/4-3√5=a+b√5 find the values of a & b
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Answer:
a= - 61/29 and b= -24/29
Step-by-step explanation:
(4+3√5 )/ (4-3√5)
(4+3√5 )(4+3√5 )/ (4-3√5)(4+3√5 )
=(16+45+24√5)/ ( 16-45)
=(61+24√5)/(-29) = a+b√5
or -61/29 - (24/29)√5 = a+b√5
On comparision we get
a= - 61/29 and b= -24/29
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