Answer:
B
Step-by-step explanation:
p(x) = x² - 2√2x + 1
p(2√2) = (2√2)² - 2√2*2√2 + 1
=2²*(√2)² - 2*2*√2*√2 + 1
= 4 *2 - 4*2 + 1
= 8 - 8 + 1
= 1
Given
p(x) = x² - 2[tex]\sqrt{2}[/tex] x + 1, then
p(2[tex]\sqrt{2}[/tex] )= (2[tex]\sqrt{2}[/tex] )² - 2[tex]\sqrt{2}[/tex](2[tex]\sqrt{2}[/tex] ) + 1 = 8 - 8 + 1 = 1 → B
