# Root thing

1. Jul 5, 2007

### streetmeat

quick question:

how does this work- (root)72 = 6(root)2

and what is this technique called?

2. Jul 5, 2007

### cristo

Staff Emeritus
To simplify squareroots one writes the argument as a product, one of which is a square number. So, $\sqrt{72}=\sqrt{36\times 2}=\sqrt{36}\sqrt{2}=6\sqrt{2}$

The technique I guess would be called simplifying a square root.

3. Jul 5, 2007

### Kurdt

Staff Emeritus
Square roots of integers are often labelled 'surds' in textbooks.