Math Problem Statement
√4 + √25 - √9 - √2² × √7² + 4
Solution
The expression in the image is:
Let's break it down step by step:
Now, substitute these values back into the expression:
Simplify:
Now, perform the operations from left to right:
The final result is:
Would you like a further breakdown or explanation of any step?
Here are five related questions to expand your understanding:
- What is the general rule for simplifying square roots of perfect squares?
- How does the order of operations affect the calculation in this expression?
- Why is simplified to 2, and how does this rule apply to other squares?
- How does multiplication inside square roots differ from operations outside them?
- Can square roots of non-perfect squares be simplified similarly?
Tip: Always resolve powers and square roots before applying addition, subtraction, or multiplication.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Order of Operations
Basic Arithmetic
Formulas
√x where x is a perfect square
Theorems
Order of Operations (PEMDAS)
Suitable Grade Level
Grades 6-8