Question
Question: If \((3\sqrt{3} + 5)^{7}\)= P + F, where P is an integer and F is a proper fraction , then F.(P + F)...
If (33+5)7= P + F, where P is an integer and F is a proper fraction , then F.(P + F) is equal to –
A
37
B
26
C
36
D
27
Answer
27
Explanation
Solution
(33+5)7= P + F
F ' = (33–5)7
\ n = odd. F= F '
(P + F) F = (33+5)7(33–5)5
= (27 – 25)7
= 27