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my teacher wants me to use this formula: x2+(a+b)x+ab

I don't understand.

Please use this formula with this expression:  ($$\sqrt[2]{3}+2)(\sqrt[2]{3}+1)$$

Guest Mar 28, 2017
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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.

$$3+3\sqrt3+2 \\ 5+3\sqrt3$$

hectictar  Mar 29, 2017