Math Problem Statement
Solution
It looks like you've uploaded a mathematical expression. Let's solve and simplify it.
The expression in the image is:
We'll break it down step-by-step:
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Square root of a fraction: The square root of a fraction can be calculated by taking the square root of the numerator and the denominator separately.
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Square root in subtraction:
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Adding the fractions and constants:
To add these, we need a common denominator. The common denominator for 3 and 2 is 6:
Thus, the value of the entire expression is .
Would you like more details on any of these steps or do you have another question? Here are a few things you might find interesting:
- Why do we need to find a common denominator to add fractions?
- What are other examples where subtracting square roots might be used in expressions?
- How to simplify square roots of larger numbers?
- What techniques can be used to find the square root of a non-perfect square without a calculator?
- How would this expression change if the operations between the numbers were different (e.g., multiplication instead of addition)?
Tip: Remember, when dealing with square roots of fractions, simplify within the square root before taking the square root if possible—it often makes the arithmetic easier!
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Math Problem Analysis
Mathematical Concepts
Square Roots
Fractions
Basic Arithmetic
Formulas
Square root of a fraction: √(a/b) = √a / √b
Addition and subtraction of fractions
Theorems
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Suitable Grade Level
Grades 8-10
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