The value of p(√3) is 9 - 4√3. So, the correct answer is option C.
The given function is p(m) = 2m² - 4m + 3. We need to find the value of p(√3).
To find this, we substitute m = √3 in the expression for p(m):
p(√3) = 2(√3)² - 4(√3) + 3
= 2(3) - 4(√3) + 3
= 6 - 4√3 + 3
= 9 - 4√3
Therefore, the value of p(√3) is 9 - 4√3. So, the correct answer is option C.