# How do you simplify #(sqrt5-3)^2#?

##### 3 Answers

#### Explanation:

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 :)

#### Explanation:

Use identity:

#### Explanation:

First, let

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: