Math Problem Statement
b^2 = \dfrac{16}{121}
Solution
To solve the equation , follow these steps:
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Take the square root of both sides: To solve for , take the square root of both sides of the equation.
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Simplify the square root:
So, the solution is:
Would you like any further details or have any questions?
Here are some related questions you might find interesting:
- How do you solve equations involving square roots?
- What happens if the square root does not result in a rational number?
- Can you explain the concept of rational and irrational numbers?
- How does squaring both sides of an equation affect the solution set?
- What is the geometric interpretation of ?
Tip: When dealing with square roots, always consider both the positive and negative roots unless the problem specifically states otherwise.
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Math Problem Analysis
Mathematical Concepts
Algebra
Square Roots
Rational Numbers
Formulas
Square root formula: \(\sqrt{a} = b\) where \(b^2 = a\)
Theorems
Properties of square roots
Square root of a quotient property: \(\sqrt{\dfrac{a}{b}} = \dfrac{\sqrt{a}}{\sqrt{b}}\)
Suitable Grade Level
Grades 7-9