Math Problem Statement

Answer the question below in details

Calculate \( \frac{\sqrt{0.04}}{\sqrt[3]{8}} \)

Solution

from PIL import Image import pytesseract

Load the image to extract text

image_path = '/mnt/data/1732188428912nscdbz3g.jpg' extracted_text = pytesseract.image_to_string(Image.open(image_path))

extracted_text'1 Question\n\nO04\nCalculate %@\n''1 Question\n\nO04\nCalculate %@\n'successThe question appears to involve calculating 0.0483\frac{\sqrt{0.04}}{\sqrt[3]{8}}. Let me solve it step by step:

  1. Simplify 0.04\sqrt{0.04}:
    0.04=0.2\sqrt{0.04} = 0.2 (since 0.22=0.040.2^2 = 0.04).

  2. Simplify 83\sqrt[3]{8}:
    83=2\sqrt[3]{8} = 2 (since 23=82^3 = 8).

  3. Calculate the fraction:
    0.0483=0.22=0.1\frac{\sqrt{0.04}}{\sqrt[3]{8}} = \frac{0.2}{2} = 0.1.

Final Answer:

0.0483=0.1\frac{\sqrt{0.04}}{\sqrt[3]{8}} = 0.1.

Would you like further details or examples on related calculations?

Related Questions:

  1. How do you simplify higher roots like 164\sqrt[4]{16}?
  2. What are the properties of fractional exponents?
  3. Can you generalize a method for simplifying ab3\frac{\sqrt{a}}{\sqrt[3]{b}}?
  4. How do square and cube roots apply in real-world problems?
  5. What is the difference between radicals and fractional exponents?

Tip:

Always check whether the values under roots are perfect squares or cubes to simplify calculations easily!

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Math Problem Analysis

Mathematical Concepts

Square Roots
Cube Roots
Fractions

Formulas

\( \sqrt{a} \) (Square Root)
\( \sqrt[3]{b} \) (Cube Root)

Theorems

Properties of Radicals
Simplification of Fractions

Suitable Grade Level

Grades 6-8