Question

IF (3+√7)/(3-√7)+(3-√7)/(3+√7) = a+b√7 find the value of a and b

Answer 1

[(3+√7)/(3-√7) × (3+√7)/(3+√7)] + [(3-√7)/(3+√7) × (3-√7)/(3-√7)]

→ (3+√7)²/(3-√7)(3+√7) + (3-√7)²/(3+√7)(3-√7)

→ [3²+√7²+2(3)(√7)]/(3²-√7²) + [3²+√7²-2(3)(√7)]/(3²-√7²)

→ (9+7+6√7)/(9-7) + (9+7-6√7)/(9-7)

→ [16+6√7+16-6√7)/2

→ 32/2

→ 16

16 = 16+0√7 = a+b√7

a = 16, b = 0

Hope it helps