The square root of 50 can be simplified as follows:

\[
\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2}
\]

The approximate decimal value is:

\[
\sqrt{50} \approx 7.071
\]

Would you like further details on how to simplify square roots or explore more examples?

Here are 5 related questions you might find interesting:
1. How do you simplify the square root of 18?
2. What is the square root of 200?
3. How do you calculate the square root of a number without a calculator?
4. What is the relationship between square roots and exponents?
5. How can you approximate square roots of non-perfect squares?

**Tip**: When simplifying square roots, look for perfect square factors within the number to break it down into smaller, more manageable parts!

Learn how to simplify the square root of 50 and approximate its value. This solution demonstrates the process of simplifying square roots by factoring perfect squares and shows the approximate decimal value. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation