Question

find the value of a and b in the following:

$\frac{3 + \sqrt{7} }{3 - \sqrt{7} } = a + b \sqrt{7}$
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Answer 1

Answer:

3+root7/3-root7

(3+root7)(3+root 7)/(3-root7)(3+root7)

(3+root7)^2/9-7

3+6root7+7/2

10+6root7/2

2 (5+3root7)/2

5+3root7

Therefore, value of a =5,b=3root7