How do surds relate to powers and roots?

To understand surds we have to understand powers and there uses. So to start we should look at powers such as what is 2² , 3², and 5². This shows us going up but then we look at how we square root things after this so how do you √4 and then √9 and √25. We do this to see how powers work up or down. Surds just let us express more complicated numbers more easily. To do this we look at √2 and how we cannot get a whole number out of it; a lot like pi it doesn't have an end. This doesn't mean it isn't useful. √2 is useful a lot especially in trigonometry because of the unit triangle.