3+√(2)÷3−√(2)=a+b√(2) solve for a and b
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LHS
3+√2/3 -√2
(9+√2-3√2)/3
{9-2√2}/3
9/3 - 2√2/3
3-2√2/3=a+b√2
Matching the values
a=3 and b√2 =-2√2/3
a=3 and b=-2/3
3+√2/3 -√2
(9+√2-3√2)/3
{9-2√2}/3
9/3 - 2√2/3
3-2√2/3=a+b√2
Matching the values
a=3 and b√2 =-2√2/3
a=3 and b=-2/3
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