Question #043fb

1 Answer
Feb 3, 2018

-4+sqrt11

Explanation:

We can multiply both terms of the fraction by the factor 2-sqrt(11), and transfer the radical form to the numerator:

((3-2sqrt11)(2-sqrt11))/((2+sqrt11)(2-sqrt11))

Let's multiply and expand the terms:

(6-3sqrt11-4sqrt11+2sqrt11^2)/(4-sqrt11^2)

that's

(6-7sqrt11+22)/(4-11)

(28-7sqrt11)/-7

or, in standard form:

-4+sqrt11