Answer:
1. [tex]-5-\sqrt{x}[/tex]
2. [tex]7+\sqrt{b}[/tex]
Step-by-step explanation:
The conjugate of a radical expression
[tex]a+\sqrt{b}[/tex]
is the expression
[tex]a-\sqrt{b}[/tex]
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. [tex]-5+\sqrt{x}[/tex]
The conjugate is
[tex]-5-\sqrt{x}[/tex]
2. [tex]7-\sqrt{b}[/tex]
The conjugate is
[tex]7+\sqrt{b}[/tex]
