# If P=7+4√3 and PQ=1, then what is the value of (1/P 2)+(1/Q 2)? P

| If P=7+4√3 and PQ=1, then what is the value of (1/P

^{2})+(1/Q^{2})?A. 148

B. 189

C. 194

D. 204

Please scroll down to ** see the correct answer ** and ** solution guide.**

### Right Answer is: C

#### SOLUTION

P=7+4√3

PQ=1, P = 1/Q

Then Q=

P + Q = 7+4√3 + = 14

P + 1/P = 14

= (14)^{2} - 2