Answer :
Let's solve the given expressions step-by-step.
### Expression 1:
[tex]\[ \frac{1}{3 - 2\sqrt{x}} \][/tex]
To find the simplified form of this expression, let's consider the form it is given. The expression is already in a simplified form where the denominator is [tex]\(3 - 2\sqrt{x}\)[/tex]. Therefore, the simplified form of this expression is:
[tex]\[ \frac{1}{3 - 2\sqrt{x}} \][/tex]
### Expression 2:
[tex]\[ \sqrt{y} + \sqrt{2x} \][/tex]
This expression involves adding the square root of [tex]\(y\)[/tex] and the square root of [tex]\(2x\)[/tex]. Since we have two terms under the square root and the operation is just addition, the simplified form is:
[tex]\[ \sqrt{y} + \sqrt{2x} \][/tex]
Thus, without altering the structure, we recognize that the given forms are already simplified:
1. [tex]\[ \frac{1}{3 - 2\sqrt{x}} \][/tex]
2. [tex]\[ \sqrt{y} + \sqrt{2x} \][/tex]
So, the final result for the question given is:
[tex]\[ \left(\frac{1}{3 - 2\sqrt{x}}, \sqrt{y} + \sqrt{2x}\right) \][/tex]
### Expression 1:
[tex]\[ \frac{1}{3 - 2\sqrt{x}} \][/tex]
To find the simplified form of this expression, let's consider the form it is given. The expression is already in a simplified form where the denominator is [tex]\(3 - 2\sqrt{x}\)[/tex]. Therefore, the simplified form of this expression is:
[tex]\[ \frac{1}{3 - 2\sqrt{x}} \][/tex]
### Expression 2:
[tex]\[ \sqrt{y} + \sqrt{2x} \][/tex]
This expression involves adding the square root of [tex]\(y\)[/tex] and the square root of [tex]\(2x\)[/tex]. Since we have two terms under the square root and the operation is just addition, the simplified form is:
[tex]\[ \sqrt{y} + \sqrt{2x} \][/tex]
Thus, without altering the structure, we recognize that the given forms are already simplified:
1. [tex]\[ \frac{1}{3 - 2\sqrt{x}} \][/tex]
2. [tex]\[ \sqrt{y} + \sqrt{2x} \][/tex]
So, the final result for the question given is:
[tex]\[ \left(\frac{1}{3 - 2\sqrt{x}}, \sqrt{y} + \sqrt{2x}\right) \][/tex]