How do you simplify #(sqrt5-3)^2#?
Recall the identity for a binomial squared:
So, all your doing is using this formula, but with two numbers. This gives you:
However, there is also another formula you might stumble across that you could use:
Can you use this and get the same answer? YES! This is exactly the same thing . Instead of plugging a negative number into the first formula, we just take care of that by making
Either way, you should end up at the same answer.
Hope that helped :)
Our simplified answer will be in the form of
First, to get
Then we need
Finally, we need
So let's put all of these together, so our final answer is: