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Step-by-step explanation:
3+√7/3-√7= a+b√7
rationalising the denominator
3+√7 3+√7
-------- * -------
3-√7 3+√7
=> (3+√7)^2
------------
(3)^2-(√7)^2
=> for numerator (a+b)^2 formula is used
for denominator a^2-b^2 formula is used
therefore 16+√7
--------
2
so answer is a=16 and b=1/2
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