# What is the answer to this problem with explanation?

##
#(3sqrt10+5)(4sqrt6-2)#

##### 2 Answers

#### Explanation:

#"using the "color(blue)"law of radicals"#

#•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#"expand the factors using FOIL"#

#=(3sqrt10xx4sqrt6)+(-2xx3sqrt10)+(5xx4sqrt6)#

#color(white)(=)+(5xx-2)#

#=12sqrt60-6sqrt10+20sqrt6-10#

#sqrt10" and "sqrt6" are in simplest form"#

#sqrt60=sqrt(4xx15)=sqrt4xxsqrt15=2sqrt15#

#sqrt15" is in simplest form"#

#=(12xx2sqrt15)-6sqrt10+20sqrt6-10#

#=24sqrt15-6sqrt10+20sqrt6-10#

See below

#### Explanation:

We have to operate in this expresion usin distributive law for real numbers. This property stablish

But

Then