HELP PLEASE ASAP 20 points

Answer:
Its d [tex]x^{2} -6x+7=0[/tex]
Step-by-step explanation:
A= [tex]2+\sqrt{3\\}[/tex]
B= [tex]3\sqrt{2}[/tex]
C= [tex]-3+\sqrt{2}[/tex]
Answer:
D. x^2 - 6x + 7 = 0.
Step-by-step explanation:
The roots are 3 plus or minus sqrt(2). That means the equation is...
(x - [3 + sqrt(2)]) * (x - [3 - sqrt(2)])
= [x - 3 - sqrt(2)] * [x - 3 + sqrt(2)]
= x^2 - 3x - xsqrt(2) - 3x + 9 + 3sqrt(2) + xsqrt(2) - 3sqrt(2) - (sqrt(2))^2
= x^2 - 3x - 3x + 9 - 2 - xsqrt(2) + xsqrt(2) + 3sqrt(2) - 3sqrt(2)
= x^2 - 6x + 7.
Hope this helps!