Question

If (2−√3) is a root of a polynomial with integer coefficients, which of the following must be another root?

2√3
√3−2
2+√3
3−√2

Answer 1

2+√3

Explanation:

We know that roots with square roots come in pairs

so if we have a+ sqrt(b), we will also have a - sqrt(b)

Since one of the roots is 2 -sqrt(3), it must have another root of 2+ sqrt(3)