2,3, and the square root of 5

Question

what are the roots/zeros of 2, 3, and the square root of 5

Answer 1

I think you meant to ask for a polynomial that has zeros of 2, 3, and √5. Square roots come in pairs of ±, so you will have 4 zeros:

2

3

√5

-√5

The polynomial is

f(x) = A(x - 2)(x - 3)(x - √5)(x + √5) = A(x - 2)(x - 3)(x² - 5),

where A is real and A ≠ 0.