Find the value of a and b if :3+2√2/3-√2=a+b√2
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Answer:
a=13/7; b=9/7
Step-by-step explanation:
(3+3√2)/(3-√2) =[ (3+3√2)/(3-√2)]* [(3+√2)/(3+√2)]
∵(rationalizing the denominator with its conjugate 3+√2)
(9+6√2+3√2+4)/7
on comparing with a+b√2 we get a =13/7 and b=9/7
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