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