Question

If p(x)= x^2 - 2root2x + 1, then p(3root2)= ?

Answer 1

19 - 2^(7/4)√3 or

13.174 to nearest thousandth.

Explanation:

I am interpreting this as x^2 - 2√(2x) + 1

p(3√2) = (3√2)^2 - 2√(2*3√2) + 1

= 18 - 2√(6√2) + 1

= 19 - 2* √6 * 2^1/4

= 19 - 2*√2*√3*2^1/4

= 19 - 2^(7/4)√3.

= 13.174 to the nearest thousandth.