3+2√2/3-√2=a+b√2 then find the values of a and b .
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3+2√2/3-√2=a+b√2
on multiplying by its conguvate
3+2√2/3-√2×3+√2/3+√2
(3+2√2)×(3+√2)/(3-√2) (3+√2)
3(3+√2)+2√2(3+√2)/(3)²-(√2)²
9+3√2+6√2+4/9-2
13+9√2/7 =a+b√2
13/7+9√2/7=a+b√2
on comparing L.H.S and R.H.S
a=13/7 and b=9/7
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