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

Question

Lucian

Mathematics

23 March, 01:49

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

+4

Answers (1)

Know the Answer?

Bruno · Answer 1

2+√3

Step-by-step 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)

If (2-√3) is a root of a polynomial with integer coefficients, which of the following must be another root?2√3√3-22+√33-√2

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