my teacher wants me to use this formula: x2+(a+b)x+ab
I don't understand.
Please use this formula with this expression: (\(\sqrt[2]{3}+2)(\sqrt[2]{3}+1)\)
The 2's indicating that it is the second root are assumed when not written.
\((\sqrt{3}+2)(\sqrt{3}+1)\)
x = √3
a = 1
b = 2
Substitute x, a, and b, into x2+(a+b)x+ab .
\((\sqrt{3})^2+(1+2)(\sqrt3)+(1)(2)\)
Simplify.
\(3+3\sqrt3+2 \\ 5+3\sqrt3\)