It looks like you're asking to simplify or express the value of \( \sqrt{\frac{3}{5}} \).

### Simplified form:
\[
\sqrt{\frac{3}{5}} = \frac{\sqrt{3}}{\sqrt{5}}
\]
This is the exact form.

### Approximate decimal value:
To get a decimal approximation:
\[
\sqrt{3} \approx 1.732 \quad \text{and} \quad \sqrt{5} \approx 2.236
\]
Thus,
\[
\frac{\sqrt{3}}{\sqrt{5}} \approx \frac{1.732}{2.236} \approx 0.774
\]

So, \( \sqrt{\frac{3}{5}} \approx 0.774 \) (rounded to three decimal places).

Would you like further details on how to rationalize the denominator or have any other questions?

Here are some related questions for practice:
1. Simplify \( \sqrt{\frac{4}{7}} \).
2. Find the decimal approximation of \( \sqrt{2} \).
3. Simplify \( \frac{\sqrt{8}}{\sqrt{2}} \).
4. Solve \( \frac{\sqrt{12}}{\sqrt{6}} \).
5. Approximate \( \frac{\sqrt{5}}{\sqrt{7}} \).

**Tip:** To rationalize a square root in a denominator, multiply both the numerator and denominator by the same square root to remove it.

Learn how to simplify and approximate the square root of 3/5. This problem explores the use of radical simplification and decimal approximations of square roots, including detailed steps and related questions for further practice. 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