https://file.aiquickdraw.com/mathbot/file/1725997532712rbz0pb20.jpg

The expression in the image is:

\[
\frac{3}{\sqrt{7}}
\]

To simplify or rationalize this expression, we can remove the square root from the denominator by multiplying both the numerator and denominator by \(\sqrt{7}\):

\[
\frac{3}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} = \frac{3 \cdot \sqrt{7}}{7} = \frac{3\sqrt{7}}{7}
\]

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:
1. How do you rationalize a denominator with a square root?
2. Can you rationalize a denominator with higher powers of square roots?
3. What is the benefit of rationalizing the denominator?
4. How does rationalizing work with cube roots or higher?
5. How do we handle expressions like \(\frac{a}{\sqrt{b}}\) when both \(a\) and \(b\) 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.

Simplify or rationalize the expression \( \frac{3}{\sqrt{7}} \).

Learn how to simplify the algebraic fraction \( \frac{3}{\sqrt{7}} \) by rationalizing the denominator. This step-by-step guide shows how to remove the square root from the denominator, making the expression more manageable. Perfect for students in Grades 8-10 studying square roots and rationalization.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation