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Let (5 + 2sqrt6)^n= p+ f, where n in N a...

Let `(5 + 2sqrt6)^n= p+ f`, where `n in N and p in N and 0

A

a natural number

B

a negative integer

C

a prime number

D

an irrational number

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If (5 + 2 sqrt(6))^(n) = I + f , where I in N, n in N and 0 le f le 1, then I equals

    A
    `(1)/(f) -f`
    B
    `(1)/(1 +f) -f`
    C
    `(1)/(1 - f)- f`
    D
    `(1)/(1 - f) +f`

  • If (5+2sqrt(6))^(n)=I+f , where I in N, n in N and 0 le f lt 1 , then I equals

    A
    `(1)/(f) -f`
    B
    `(1)/(1+f)-f`
    C
    `(1)/(1-f)-f`
    D
    `(1)/(1-f)+f`

  • In m, n , p are in A.P. and m^n = p^m = n! + p, m, n, p in N , then the value of m,n, p is, where 2 < m, n < p < 10 :

    A
    136
    B
    72
    C
    162
    D
    none of these

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