# How do you find all additional roots given the roots #3-sqrt2# and #1+sqrt3#?

##### 1 Answer

Oct 3, 2016

#### Explanation:

If the coefficients of a polynomial equation are rational, complex

roots and irrational roots occur in conjugate pairs.

For examples.

the roots of

The roots of

Here the conjugates 3+sqrt 2 and 1 - sqrt 3 should also be the roots

of such an equation.

In the case of surd like

is a double couple