if both a and b are ratoinal numbers find the value of a and b in each of the following 3+✓2/3-✓2=a+b✓2
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3+✓2/3-✓2=a+b✓2
=>( 3+✓2)(3+√2)/(3-✓2)(3+√2)= a+b√2
=>( 9+6√2+2)/ 7 =a+b√2
=> 11+ 6√2 /7 = a+b√2
=> 11/7 + 6/7 . √2 = a+b√2
comparing the both side we get a = 11/7 and b= 6/7
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