The expression you are referring to is the negative square root of \( \frac{14400}{121} \). Let's break it down step by step.

1. **Square Root Calculation**:
   \[
   \sqrt{\frac{14400}{121}} = \frac{\sqrt{14400}}{\sqrt{121}} = \frac{120}{11}
   \]

2. **Negative Square Root**:
   The negative square root of \( \frac{120}{11} \) is:
   \[
   -\frac{120}{11}
   \]

So, the negative square root of \( \frac{14400}{121} \) is:
\[
-\frac{120}{11}
\]

Would you like more details or have any questions?

---

Here are 5 related questions for you to explore:

1. What is the positive square root of \( \frac{14400}{121} \)?
2. How do you find the square root of a fraction like \( \frac{14400}{121} \)?
3. Can every number have a real square root?
4. How do you solve square roots of negative numbers (complex numbers)?
5. What is the relationship between square roots and exponents?

**Tip**: When taking the square root of a fraction, you can break it down by taking the square root of the numerator and denominator separately.

Discover how to find the negative square root of 14400 divided by 121 with this step-by-step solution. This math problem breaks down the square root of a fraction, applying the property of negative square roots. Suitable for Grades 8-10 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation