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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(3\sqrt{3} + 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(3\sqrt{3} + 5)^{7}= P + F

F ' = (335)7(3\sqrt{3}–5)^{7}

\ n = odd. F= F '

(P + F) F = (33+5)7(335)5(3\sqrt{3} + 5)^{7}(3\sqrt{3}–5)^{5}

= (27 – 25)7

= 27