SOLUTION: how does 1/2 square root of 5 + 1 1/2 square root of 20 equals 7/2 square root of 5?

Algebra ->  Radicals -> SOLUTION: how does 1/2 square root of 5 + 1 1/2 square root of 20 equals 7/2 square root of 5?      Log On


   

Question 761549: how does 1/2 square root of 5 + 1 1/2 square root of 20 equals 7/2 square root of 5?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
how does 1/2 square root of 5 + 1 1/2 square root of 20 equals 7/2 square root of 5?
%281%2F2%29%2Asqrt%285%29+%2B+%283%2F2%29+%2A+sqrt%2820%29
=
%281%2F2%29%2Asqrt%285%29+%2B+%283%2F2%29+%2A+sqrt%284%2A5%29
=
%281%2F2%29%2Asqrt%285%29+%2B+%283%2F2%29+%2A+sqrt%284%29+%2A+sqrt%285%29 (because sqrt(a*b) = sqrt(a) * sqrt(b)
=
%281%2F2%29+%2A+sqrt%285%29+%2B+3+%2A+sqrt%285%29 ---> sqrt(4) = 2
=
%283%2B1%2F2%29+%2A+sqrt%285%29
=
%287%2F2%29+%2A+sqrt%285%29+

:)