from PIL import Image import pytesseract

Load the uploaded image

image_path = "/mnt/data/173254100913047fzcx3g.jpg" image = Image.open(image_path)

Extract text from the image

extracted_text = pytesseract.image_to_string(image) extracted_text'Multiply.\n\n5/3(V15 +2)\n\nSimplify your answer as much as possible.\n\n''Multiply.\n\n5/3(V15 +2)\n\nSimplify your answer as much as possible.\n\n'successThe problem asks to multiply and simplify:

$5\sqrt{3} \left(\sqrt{15} + 2\right)$

Step-by-Step Solution:

1. Distribute $5\sqrt{3}$ across $\sqrt{15} + 2$: $5\sqrt{3} \cdot \sqrt{15} + 5\sqrt{3} \cdot 2$

2. Simplify each term:

   • For $5\sqrt{3} \cdot \sqrt{15}$: $5\sqrt{3 \cdot 15} = 5\sqrt{45}$ Simplify $\sqrt{45}$ as: $\sqrt{45} = \sqrt{9 \cdot 5} = 3\sqrt{5}$ So: $5\sqrt{45} = 5 \cdot 3\sqrt{5} = 15\sqrt{5}$

   • For $5\sqrt{3} \cdot 2$: $5 \cdot 2 \sqrt{3} = 10\sqrt{3}$

3. Combine the terms: $15\sqrt{5} + 10\sqrt{3}$

Final Answer:

$15\sqrt{5} + 10\sqrt{3}$

Let me know if you'd like a detailed explanation of any part!

Here are some related questions to deepen understanding:

1. How do you simplify a radical expression with higher powers?
2. What is the significance of distributing in this problem?
3. How do you determine when a radical can be simplified?
4. Why does $\sqrt{45}$ simplify to $3\sqrt{5}$?
5. How does the distributive property work with radicals and constants?

Tip: Always simplify square roots as much as possible by factoring out perfect squares!