Math Problem Statement
112/3√
Solution
The expression can be simplified by rationalizing the denominator. This involves eliminating the square root from the denominator.
Step-by-step simplification:
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Multiply both the numerator and the denominator by to remove the square root in the denominator:
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Multiply the numerator:
Thus, the simplified form of the expression is:
Would you like further details on rationalization or another example?
Here are 5 related questions you can explore:
- How do you rationalize a denominator with a cube root?
- What is the numerical value of ?
- How do you simplify expressions involving higher roots?
- What are the steps to rationalize a denominator with two terms (binomials)?
- What are the properties of square roots that help in simplifying expressions?
Tip: Rationalizing a denominator makes an expression easier to interpret and compute, especially in manual calculations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Rationalization
Simplifying Radicals
Formulas
Rationalizing a denominator: \( \frac{a}{\sqrt{b}} \times \frac{\sqrt{b}}{\sqrt{b}} = \frac{a\sqrt{b}}{b} \)
Theorems
Properties of square roots: \( \sqrt{a} \times \sqrt{a} = a \)
Simplification rules for radicals
Suitable Grade Level
Grades 9-11