Question

Sa se calculeze produsul x*y , unde :a) x=√48-√108+√192-√243+√147 y= √45-√80+√180-√320+√125

Answer 1

x=√48-√108+√192-√243+√147 = 4√3-6√3+8√3- 9√3+7√3=
=√3(4-6+8-9+7)=4√3


y= √45-√80+√180-√320+√125 = 3√5-4√5+6√5-8√5+5√5=
= √5(3-4+6-8+5)=4√5

x* y= 4√3 * 4 √5=16√15