A polynomial equation with rational coefficients has the roots 7 +square root three, 2 –square root six. Find two additional roots.

Question

(1 point)
Responses

7 –square root three, 2 +square root six
7 – Image with alt text: square root three , 2 + Image with alt text: square root six

3 –square root seven, 6 +square root two
3 – Image with alt text: square root seven , 6 + Image with alt text: square root two

7 +square root three, 2 –square root six
7 + Image with alt text: square root three , 2 – Image with alt text: square root six

3 + square root seven, 6 –square root two

Answer 1

The two additional roots are 7 – √3 and 2 + √6.