Question

if p=(8+3(7^1/2)) and f=p-[p], where[.] denotes the greatest integer function, then the value of p(1-f) is equal to?

Answer 1

Answer:

Step-by-step explanation:

P = (8+3√7)^n ( given)

'F' stands for fractional part of 'P'

Let I = [P] and

F' is conjugate of P = (8-3√7)^n

As we know that P = I + F and F+F' = 1

Hence F' = 1-F

Then P(1-F) = P(F')

Finally [(8+3√7)(8-3√7)]^n => (8² - (3√7)²)^n => 1