Square root of 3/5
Understand the Problem
The question is asking to find the square root of the fraction 3/5. This involves taking the square root of both the numerator and the denominator separately.
Answer
The square root of $\frac{3}{5}$ is $\frac{\sqrt{15}}{5}$.
Answer for screen readers
The square root of the fraction $\frac{3}{5}$ is $\frac{\sqrt{15}}{5}$.
Steps to Solve
-
Identify the fraction The fraction we need to work with is $\frac{3}{5}$.
-
Take the square root of the numerator and denominator We will take the square root of both the numerator (3) and the denominator (5). This can be expressed as follows: $$ \sqrt{\frac{3}{5}} = \frac{\sqrt{3}}{\sqrt{5}} $$
-
Rationalize the denominator To express the answer in a standard form, we need to rationalize the denominator: $$ \frac{\sqrt{3}}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{\sqrt{15}}{5} $$
The square root of the fraction $\frac{3}{5}$ is $\frac{\sqrt{15}}{5}$.
More Information
The process of finding the square root of a fraction involves separately calculating the square roots of the numerator and denominator, then rationalizing if necessary. The square root of 15 does not simplify further as it's not a perfect square.
Tips
- Forgetting to rationalize the denominator after taking the square root.
- Confusing the process of finding the square root of a fraction with multiplying or adding the square roots improperly.
AI-generated content may contain errors. Please verify critical information
