Math Problem Statement
√5 + 6√20
Solution
The image contains a mathematical expression to be simplified. The expression is:
To simplify this, let's work through it step-by-step:
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Simplify the square root of 20:
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Substitute this into the original expression:
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Combine like terms:
So, the simplified result is:
Would you like further details or have any questions? Here are five related questions to expand on this topic:
- How do you simplify square roots involving products of numbers?
- Can you always combine terms with square roots in an expression?
- What is the process for rationalizing a denominator that contains a square root?
- How would you handle expressions with cube roots, such as ?
- How does factoring play a role in simplifying square roots?
Tip: Always look for perfect square factors when simplifying square roots to make the process easier.
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Math Problem Analysis
Mathematical Concepts
Simplification of square roots
Radicals
Combining like terms
Formulas
√a * √b = √(a * b)
Simplify square roots by factoring
Theorems
Properties of square roots
Suitable Grade Level
Grades 8-10