Math Problem Statement
2 + 3√49 = ?
Solution
The expression shown is:
First, simplify . The square root of 49 is 7, so the expression becomes:
Now, calculate . Therefore, the expression simplifies to:
So, the result is .
Would you like any further explanation, or do you have questions about the steps?
Here are 5 questions related to this problem:
- What is the general method to simplify square roots?
- How can we handle similar expressions with other square roots?
- What would change if the expression involved a negative square root?
- How do square roots affect equations in algebra?
- What is the importance of knowing perfect squares in simplifying such expressions?
Tip: Knowing perfect squares (like 49, 64, 81) helps quickly simplify square root expressions!
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Square Roots
Basic Arithmetic
Formulas
√a = b, where b^2 = a
Order of Operations (PEMDAS)
Theorems
The square root theorem, stating that √a is the number that, when squared, gives a
Suitable Grade Level
Grades 6-8