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The phrase "a simple experiment" is correct and usable in written English.
You can use it when referring to an experiment that is straightforward or easy to conduct.
Example: "For our science class, we decided to conduct a simple experiment to demonstrate the principles of buoyancy."
Alternatives: "an easy experiment" or "a basic experiment."
Exact(60)
As a proof of concept, we present a simple experiment in support of this approach.
AS HE sat in a darkened conference hall, Steven Hofmyer decided to try a simple experiment.
Since we had no experience with the crop, we designed a simple experiment (Fig. 1).
A simple experiment demonstrates this.
So here's a simple experiment.
Consider a simple experiment we conducted.
A simple experiment suggests one reason for this.
Here's a simple experiment you might want to try.
Bell's Liquid Transmitter was recreated using a simple experiment.
The theoretical predictions are validated by a simple experiment.
"To all who believe in it, I propose a simple experiment.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com