find the rational number a and b so that (3+√7)÷(3-✓7)=a+b√7
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(3+√7)÷(3-✓7)=a+b√7
3² - ( √7) ²=a+b√7
9 - 7 =a+b√7
2 = a+b√7
So
a = 2
b = 0
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