Root Mean Square Table: Root mean square (RMS) by Value 1
Reference table of root mean square (rms) for Root Mean Square across a range of value 1 values — exact, engine-computed figures you can read off at a glance.
Root Mean Square Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Root mean square (RMS)
4.0825
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Root Mean Square Calculator
The Root Mean Square Calculator works out your root mean square (rms) in an instant. Enter value 1, value 2 and value 3 and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the value 1.
- Enter the value 2.
- Enter the value 3.
- Read off your root mean square (rms) — the calculator updates automatically, with no button to press.
Formula
The Root Mean Square Calculator uses the formula:
Root mean square (RMS) = √((Value 1 ^ 2 + Value 2 ^ 2 + Value 3 ^ 2) ÷ 3)
Worked example
For example, with value 1 of 3, value 2 of 4 and value 3 of 5, the root mean square (rms) is 4.0825.
| Value 1 | 3 |
|---|---|
| Value 2 | 4 |
| Value 3 | 5 |
| Root mean square (RMS) | 4.0825 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Mean
- The average of a set of numbers — their sum divided by how many there are.
Frequently asked questions
RMS is the square root of the average of the squares of the values. For 3, 4 and 5 it is about 4.08.
RMS treats positive and negative values equally and reflects magnitude, which matters for signals and deviations.
It describes alternating-current voltage, signal power, and the spread of values around zero in statistics.
For non-negative values the RMS is greater than or equal to the arithmetic mean, with equality only when all values match.
The Root Mean Square Calculator uses the formula: Root mean square (RMS) = √((Value 1 ^ 2 + Value 2 ^ 2 + Value 3 ^ 2) ÷ 3). For example, with value 1 of 3, value 2 of 4 and value 3 of 5, the root mean square (rms) is 4.0825.
Enter the value 1. Enter the value 2. Enter the value 3. Read off your root mean square (rms) — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Root Mean Square: Formula, Steps & Examples
Learn how to calculate Root Mean Square — the formula explained step by step, with worked examples and a free calculator to check your answer.