The conversation between human and AI assistant.
How can I simplify the radical [math]\sqrt{72}[/math]?
How did you simplify it?
First, we factor out the perfect square factor from under the radical sign. In this case, 36 is a perfect square factor of 72. So [math]\sqrt{72}[/math] can be written as [math]\sqrt{36}\cdot\sqrt{2}[/math]. Since [math]\sqrt{36}[/math] is 6, we get [math]6\sqrt{2}[/math].