Question

If both a and b are rational numbers then find the value of the above equation ​

Answer 1

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Answer 2

Answer:

a=7/2;b=3/2

Step-by-step explanation:

first, we need to rationalized the denominator

((3+√5) ×(3+√5) ) /((3-√5) ×(3+√5) =a+b√5

7+3√5=2(a+b√5)

on comparing rational terms and irrational terms we get: 7=2a and 3√5=2b√5

a=7/2 and b = 3/2