https://file.aiquickdraw.com/mathbot/file/1727195005812s1wh3hpw.jpg

The image shows the square root of 126, \(\sqrt{126}\).

To simplify \(\sqrt{126}\):

1. Factor 126 into its prime factors:  
   \( 126 = 2 \times 3^2 \times 7 \)

2. Apply the square root to the prime factors:  
   \[
   \sqrt{126} = \sqrt{2 \times 3^2 \times 7} = \sqrt{3^2} \times \sqrt{2 \times 7}
   \]
   \[
   \sqrt{126} = 3 \times \sqrt{14}
   \]

Thus, the simplified form of \(\sqrt{126}\) is \(3\sqrt{14}\).

Would you like further details or explanations on this simplification?

Here are 5 related questions you might find useful:
1. How do you factor larger numbers into prime factors?
2. What is the process of simplifying square roots in more complex cases?
3. How do you rationalize square roots with fractions or decimals?
4. Can irrational numbers like \(\sqrt{14}\) be approximated as decimals?
5. How do square roots apply in real-world problem-solving scenarios?

**Tip:** Always check for perfect squares within a number when simplifying square roots!

What is the simplified form of the square root of 126 (√126)?

Learn how to simplify the square root of 126 by breaking it down into prime factors. The solution involves recognizing perfect squares and applying square root properties. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation