Math Problem Statement
1/root 5
Solution
The expression can be simplified or written in a more useful form. If you'd like to calculate it, here's the approximation:
If you'd like to rationalize the denominator (eliminate the square root from the denominator), you can multiply both the numerator and denominator by :
So, the exact simplified form is:
Would you like more details or have any questions about this?
Here are 5 related questions:
- What is the decimal approximation of ?
- How can you rationalize a denominator in a general case?
- What is the value of ?
- How do you find the square root of non-perfect squares like 5?
- What is the significance of rationalizing a denominator?
Tip: Rationalizing denominators is often done to simplify expressions, especially when dealing with irrational numbers.
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Math Problem Analysis
Mathematical Concepts
Algebra
Square Roots
Rationalization
Formulas
\( \frac{1}{\sqrt{5}} \)
\( \frac{\sqrt{5}}{5} \)
Theorems
Rationalizing the Denominator
Suitable Grade Level
Grades 7-9