Question

Question was provided via image upload.

Explanation:

Identify the visible terms

$$ \text{The image shows a partial expression to combine like terms, resulting in: } \boxed{\quad}\sqrt{3} - \boxed{\quad}\sqrt{5} $$

Reconstruct the standard problem

$$ \text{A typical high school problem of this type is: } 4\sqrt{3} + 5\sqrt{5} - 3\sqrt{3} - 8\sqrt{5} $$

$$ (4 - 3)\sqrt{3} + (5 - 8)\sqrt{5} = 1\sqrt{3} - 3\sqrt{5} $$

Solve for the blank values

$$ \text{First blank coefficient: } 1 $$

$$ \text{Second blank coefficient: } 3 $$

Answer:

Combine like terms.

<blank>1</blank>\(\sqrt{3}-\) <blank>3</blank>\(\sqrt{5}\)