Answer:
1.
![-5-√(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o4pmqjrhqvoppoglyeorex7iswkllceqnu.png)
2.
![7+√(b)](https://img.qammunity.org/2021/formulas/mathematics/high-school/kscsbk28zr09d4ke867w6b42khr5twrle5.png)
Explanation:
The conjugate of a radical expression
![a+√(b)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/j20s9y8add95yz2f3d4igq1o8h6c6otj64.png)
is the expression
![a-√(b)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mp1svj11ol40qdaslmwavmffq6itsz3v79.png)
And vice-versa.
The conjugate is mostly used to rationalize radical expressions because the expression by its conjugate produces another expression without the radicals.
The question asks to find the conjugate of:
1.
![-5+√(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/dagpe6n0dltcfzttuif70amcjzszac4hgi.png)
The conjugate is
![-5-√(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o4pmqjrhqvoppoglyeorex7iswkllceqnu.png)
2.
![7-√(b)](https://img.qammunity.org/2021/formulas/mathematics/high-school/aahq6bqna042qjvwra6gzdxjhfy026phu4.png)
The conjugate is
![7+√(b)](https://img.qammunity.org/2021/formulas/mathematics/high-school/kscsbk28zr09d4ke867w6b42khr5twrle5.png)