Chapter 11.9, Problem 8OE

To determine

To find: Conjugate of given binomial.

Answer to Problem 8OE

The conjugate of $5-8\sqrt{13}$ is $5+8\sqrt{13}$ .

Explanation of Solution

Given information:

The binomial $5-8\sqrt{13}$ .

Formula used:

A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of $x+y$ is $x-y$ .

  $5-8\sqrt{13}$

Recall that a conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of $x+y$ is $x-y$ .

So, changing the sign between both terms in $5-8\sqrt{13}$ .

The conjugate of $5-8\sqrt{13}$ is $5+8\sqrt{13}$ .