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 3225+3813^2 \sqrt{25} + 3 - \sqrt{81} is 39.

Would you like further details or have any questions?

Here are some related questions to expand your understanding:

  1. What are the steps to simplify 32253^2 \sqrt{25}?
  2. Why do we use the positive root when simplifying square roots like 25\sqrt{25} or 81\sqrt{81}?
  3. How does the order of operations apply in this expression?
  4. Can square roots of negative numbers be evaluated similarly?
  5. 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