How do you simplify #-1*sqrt(2)*sqrt(2-sqrt(3)) #?
The rules for radicals say that we can multiply the terms of the same order together, so we can move the
A Google search on simplifying nested radicals turned up this page, which tells us that we can simplify this expression a little further using the rule;
Our expression is certainly the right form, but we need to check that we have reasonable
Therefore, we can use
*Note: the page referenced above does not provide any proof for the equation mentioned, but if you square both sides, you can see that they are indeed equal.