https://file.aiquickdraw.com/mathbot/file/1728528790270794367nj.jpg

The question shown in the image asks for the result of the expression:

\[
12 \cdot 5^{\frac{1}{3}} + 6 \cdot 4^{\frac{1}{3}} - \sqrt{169}
\]

### Let's break this down step by step:

1. **First term**: \( 5^{\frac{1}{3}} \) is the cube root of 5.
   - \( 5^{\frac{1}{3}} \approx 1.710 \)
   - Multiply by 12: \( 12 \cdot 1.710 \approx 20.52 \).

2. **Second term**: \( 4^{\frac{1}{3}} \) is the cube root of 4.
   - \( 4^{\frac{1}{3}} \approx 1.587 \)
   - Multiply by 6: \( 6 \cdot 1.587 \approx 9.52 \).

3. **Third term**: \( \sqrt{169} \) is the square root of 169.
   - \( \sqrt{169} = 13 \).

Now, putting all of this together:

\[
20.52 + 9.52 - 13 = 17.04
\]

### Final answer: 
The value is approximately **17.04**, but none of the options match exactly. The closest approximation is **22**.

Would you like more details on any part of the calculation?

---

Here are 5 related questions:
1. What is the cube root of other numbers, like 8 or 27?
2. How do you calculate cube roots without a calculator?
3. Why is \( \sqrt{169} \) equal to 13?
4. What other methods can be used to approximate cube roots?
5. How can we simplify this expression further for better accuracy?

**Tip**: Cube roots can be approximated using series expansion or logarithmic properties for more precise calculations.

hasil yang lebih banyak 12 * 5^(1/3) + 6 * 4^(1/3) - sqrt(169)

Learn how to solve the expression 12 * 5^(1/3) + 6 * 4^(1/3) - sqrt(169) with detailed step-by-step guidance. This problem involves cube roots, square roots, and basic arithmetic, suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation