Question

if a=5+2 sqrt(6) then a -(1)/(a) is equal to​

Answer 1

Answer:

a = 5 +2√6

b = 1/(5+2√6) = (5-2√6)/1 = 5-2√6

a + b = 10

ab = 25 - 24 = 1

(a+b)² = a²+b²+2ab

(10)² = a²+b²+2*1

100 = a²+b²+2

a²+b² = 98

(a+b)³ = a³+b³+3ab(a+b)

(10)³ = a³+b³+3*1*10

1000 = a³+b³+30

a³+b³ = 970

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