if 3+√7/3-√7=a+b√7 find a and b
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3+√7 / 3-√7
multiply 3+√7 on both numerator and denomerator
(3+√7)² / (3-√7)(3+√7) = a+b√7
⇒9 + 7 + 6√7 / 3² -√7² = a+b√7
⇒16+ 6√7 / 9-7 =a+b√7
⇒16+ 6√7 / 2 =a+b√7
⇒2(8+3√7)/2 =a+b√7
⇒8 +3√7 =a+b√7
on compairing both sides
a=8
b=3
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