Math Problem Statement
Simplify or rationalize the expression \( \frac{3}{\sqrt{7}} \).
Solution
The expression in the image is:
To simplify or rationalize this expression, we can remove the square root from the denominator by multiplying both the numerator and denominator by :
This is the rationalized form of the expression.
Would you like more details on this process or have any further questions?
Here are some related questions:
- How do you rationalize a denominator with a square root?
- Can you rationalize a denominator with higher powers of square roots?
- What is the benefit of rationalizing the denominator?
- How does rationalizing work with cube roots or higher?
- How do we handle expressions like when both and are variables?
Tip: When rationalizing a denominator, you're essentially clearing the denominator of radicals by using a form of 1 that incorporates the radical.
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Math Problem Analysis
Mathematical Concepts
Rationalization
Square Roots
Algebraic Fractions
Formulas
\( \frac{a}{\sqrt{b}} \times \frac{\sqrt{b}}{\sqrt{b}} = \frac{a\sqrt{b}}{b} \)
Theorems
Rationalizing the denominator
Suitable Grade Level
Grades 8-10