Math Problem Statement
What is the simplified form of the square root of 126 (√126)?
Solution
The image shows the square root of 126, .
To simplify :
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Factor 126 into its prime factors:
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Apply the square root to the prime factors:
Thus, the simplified form of is .
Would you like further details or explanations on this simplification?
Here are 5 related questions you might find useful:
- How do you factor larger numbers into prime factors?
- What is the process of simplifying square roots in more complex cases?
- How do you rationalize square roots with fractions or decimals?
- Can irrational numbers like be approximated as decimals?
- How do square roots apply in real-world problem-solving scenarios?
Tip: Always check for perfect squares within a number when simplifying square roots!
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Math Problem Analysis
Mathematical Concepts
Square Roots
Prime Factorization
Simplifying Expressions
Formulas
√(a * b) = √a * √b
Theorems
Fundamental Theorem of Arithmetic
Suitable Grade Level
Grades 8-10