The image you uploaded contains a mathematical expression, asking to simplify $\sqrt{2} + \sqrt{3}$ and express it in the form of $m\sqrt{n} + b$.

Let's work through this:

We are given $\sqrt{2} + \sqrt{3}$. This expression cannot be simplified further into a simpler radical form since $2$ and $3$ are both square primes. Hence, we are looking to express it as:

$\sqrt{2} + \sqrt{3} = m\sqrt{n} + b$

Where $m$ and $b$ are constants, and $n$ is another square number. In this case, we directly compare and recognize that:

• $m = 1$ (for both square roots)
• $n$ represents the numbers under the square roots, so $n = 2$ and $3$.
• $b = 0$ since there is no constant term.

Therefore, the expression stays as $\sqrt{2} + \sqrt{3}$, and we cannot simplify it further into a form like $m\sqrt{n} + b$, other than recognizing it as $m = 1$, $n = 2$ and $3$, and $b = 0$.

Let me know if you'd like more explanation or have any other questions!

Here are 5 related questions to explore:

1. How do you simplify expressions involving square roots of non-square numbers?
2. What happens if you attempt to combine more square roots (e.g., $\sqrt{2} + \sqrt{5}$)?
3. Can we express other types of radicals in the form $m\sqrt{n} + b$?
4. What is the process of rationalizing the denominator with square roots?
5. How can we approximate square roots like $\sqrt{2}$ and $\sqrt{3}$?

Tip: When working with square roots of sums like this, if the numbers under the roots don't simplify further, you may often leave them as separate terms rather than combining them into a single square root expression.