[" If "(7+4sqrt(3))^(n)=p+beta" where "n&p" are positive integers and "beta" is a proper fraction show that "],[(1-beta)(p+beta)=1]

If (9+4sqrt5)^n=p+beta where n and p are positive integers and beta is a positive proper fraction, prove that (1-beta)(p+beta)=1 .

If (9+4sqrt(5))^(n)=p+beta , where n and p are positive integers and beta is a positive proper fraction, prrove that (1-beta)(p+beta)=1 and p is an odd integer.

If (8 + 3sqrt(7))^(n) = P + F , where P is an integer and F is a proper fraction , then

If (8 + 3sqrt(7))^(n) = P + F , where P is an integer and F is a proper fraction , then

If (8 + 3sqrt(7))^(n) = P + F , where P is an integer and F is a proper fraction , then

If (3sqrt(3)+5)^(2n+1)=p+f , where p is an integer and f is a proper fraction, then f(p+f) equals:

If (8+3sqrt7)^n=P+F , where P is an integer and F is a proper fraction, then

In beta- decay n//p ratio :

In beta- decay n//p ratio :