Find the value of a & b if (5 + 2√3)/(7+4√3)= a + b√3
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Answer:
∴ a = 11 and b = - 6
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Answer:
Step-by-step explanation:
(5 + 2√3)/(7+4√3)= a + b√3
By rationalising
(5+2√3)/(7+4√3)×(7-4√3)/(7-4√3)=a+b√3
(35+12√3+14√3+24)/(7^2-4
√3^2)=a+b√3
(59+26√3)/(49-48)=a+b√3
(59+26√3)=a+b√3
By equating
a=59 and b =26
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