To solve the equation \( b^2 = \dfrac{16}{121} \), follow these steps:

1. **Take the square root of both sides**: To solve for \( b \), take the square root of both sides of the equation.
   \[
   b = \pm \sqrt{\dfrac{16}{121}}
   \]

2. **Simplify the square root**:
   \[
   b = \pm \dfrac{\sqrt{16}}{\sqrt{121}}
   \]
   \[
   b = \pm \dfrac{4}{11}
   \]

So, the solution is:
\[
b = \dfrac{4}{11} \quad \text{or} \quad b = -\dfrac{4}{11}
\]

Would you like any further details or have any questions?

Here are some related questions you might find interesting:
1. How do you solve equations involving square roots?
2. What happens if the square root does not result in a rational number?
3. Can you explain the concept of rational and irrational numbers?
4. How does squaring both sides of an equation affect the solution set?
5. What is the geometric interpretation of \( b^2 = \dfrac{16}{121} \)?

**Tip:** When dealing with square roots, always consider both the positive and negative roots unless the problem specifically states otherwise.

Learn how to solve the equation b^2 = 16/121 with a detailed step-by-step solution. This problem covers key algebraic concepts such as square roots and rational numbers. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation