Question

find the value of a and b if 7+3 root 5 /3+ root 5 -7 - 3 root 5 /3-5 = a + root b

Answer 1

21+3√5+3√5-21-3√5-1
__________________ =. a+√b
3
3√5-15=. 3a+3√b
a= -5
b. = 5

Answer 2

( 7 +3√5)/(3+√5) -(7 -3√5)/(3-5) = a +√b

(7 +3√5)(3-√5)/(3+√5)(3-√5) +(7-3√5)/2 =a +√b

(21-7√5+9√5-15)/(9-5) +( 7-3√5)/2 = a +√b

(6 +2√5)/4 +( 7-3√5)/2 = a +√b

(3+√5)/2 +(7 -3√5)/2 = a +√b

(3+7 +√5-3√5)/2 = a +√b

5 -√5 = a + √b

a = 5
b = 5 { but this is not possible due to
√b ≠ -√5 }