SOLUTION: Perform the indicated operation and simplify. square root of 18x TIMES square root of 2x cubed square root of 5(3 square root of 5 -4)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Perform the indicated operation and simplify. square root of 18x TIMES square root of 2x cubed square root of 5(3 square root of 5 -4)      Log On


   

Question 118119: Perform the indicated operation and simplify.
square root of 18x TIMES square root of 2x cubed

square root of 5(3 square root of 5 -4)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the indicated operation and simplify.
square root of 18x TIMES square root of 2x cubed
sqrt%2818x%29+%2A+sqrt%282x%5E3%29
:
WE can write everything as exponents.
%2818x%29%5E%281%2F2%29+%2A+%282x%5E3%29%5E%281%2F2%29
:
18%5E%281%2F2%29%2Ax%5E%281%2F2%29%2A+2%5E%281%2F2%29%2A%28x%5E3%29%5E%281%2F2%29
:
18%5E%281%2F2%29%2Ax%5E%281%2F2%29%2A+2%5E%281%2F2%29%2A+x%5E%283%2F2%29
"
Add the exponents of of like terms:
18%5E%281%2F2%29%2A2%5E%281%2F2%29%2A+x%5E%281%2F2%29%2Ax%5E%283%2F2%29
:
36%5E%281%2F2%29+%2A+x%5E%284%2F2%29
:
6x%5E2
:
:
square root of 5(3 square root of 5 -4)
sqrt%285%29(3sqrt%285%29+-+4)
:
Multiply both terms inside the brackets by sqrt%285%29
3(5) - 4sqrt%285%29
:
15 - 4sqrt%285%29