Math Problem Statement
Evaluate the following expressions using the positive root whenever it is applicable
Evaluate the following expression: 3^2√25 + 3 - √81
Solution
The value of the expression is 39.
Would you like further details or have any questions?
Here are some related questions to expand your understanding:
- What are the steps to simplify ?
- Why do we use the positive root when simplifying square roots like or ?
- How does the order of operations apply in this expression?
- Can square roots of negative numbers be evaluated similarly?
- What happens if we use negative square roots instead?
Tip: When working with square roots, always consider whether the context specifies using the positive or negative root.
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Math Problem Analysis
Mathematical Concepts
Exponents
Square Roots
Order of Operations
Formulas
Square root formula √x
Exponent formula a^n
Theorems
Order of Operations (PEMDAS)
Suitable Grade Level
Grades 7-9