Math Problem Statement
simplify
Solution
To simplify , follow these steps:
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Factor 40 into its prime factors:
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Group the factors to simplify the square root. We can rewrite as:
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Simplify , which is 2:
So, the simplified form of is:
Would you like to explore more on this topic or need further clarification?
Here are 5 questions to deepen your understanding:
- How do you simplify other square roots like ?
- What is the square root of 50 in its simplest form?
- How can you express in simplified form?
- How does simplifying square roots relate to factoring numbers?
- What is the difference between simplifying square roots and calculating their decimal approximations?
Tip: When simplifying square roots, always look for perfect square factors to make the process easier.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Prime Factorization
Simplification of Radicals
Formulas
\( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \)
Theorems
Product Property of Square Roots
Suitable Grade Level
Grades 6-8