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Question
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to ______.
Options
0
1
`4sqrt(2)`
`8sqrt(2) + 1`
Solution
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to 1.
Explanation:
Given, `p(x) = x^2 - 2sqrt(2)x + 1` ...(i)
On putting `x = 2sqrt(2)` in equation (i), we get
`p(2sqrt(2)) = (2sqrt(2))^2 - (2sqrt(2))(2sqrt(2)) + 1`
= 8 – 8 + 1
= 1
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