To find the root of the sum of \(1300^2\) and \(1250^2\), we follow these steps:

### Step 1: Square each number
\[
1300^2 = 1690000
\]
\[
1250^2 = 1562500
\]

### Step 2: Add the results
\[
1690000 + 1562500 = 3252500
\]

### Step 3: Take the square root of the sum
\[
\sqrt{3252500} = 1803.47
\]

Thus, the root of \(1300^2 + 1250^2\) is approximately **1803.47**.

Would you like a detailed explanation of the steps?

Here are some related questions to explore:
1. What is the geometric interpretation of adding squares and taking the square root?
2. How does the Pythagorean theorem relate to these types of problems?
3. What are the properties of square roots in simplifying expressions?
4. Can we estimate the square root of large numbers without a calculator?
5. What other methods can be used to find square roots?

**Tip:** When adding squared values, you might be dealing with a problem related to distance, such as in the Pythagorean theorem.

Learn how to calculate the square root of the sum of 1300² and 1250² using key geometric concepts. This step-by-step guide shows how the Pythagorean theorem applies and how to simplify the square root of large numbers. 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