# How would you simplify #(sqrt 5+4)(sqrt 5-1)#?

##### 2 Answers

Apr 27, 2018

#### Explanation:

#"note that "sqrtaxxsqrta=a#

#"expand the factors using FOIL"#

#=5-sqrt5+4sqrt5-4#

#=1+3sqrt5#

Apr 27, 2018

#### Explanation:

To simplify this, we need to use the **distributive property of multiplication**. We can use the FOIL method, which means to multiply the first numbers, then the outer numbers, then the inner numbers, and finally the last numbers of each binomial:

Finally, we add the like terms together to simplify the expression: