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 Minus 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 Minus 4)      Log On


   

Question 118171: 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 Minus 4)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1.
sqrt%2818x%29%2A+sqrt%28+2x%5E3%29 ...........……….the properties that you need is sqrt%28a%29%2Asqrt%28b%29+=+sqrt%28ab%29

=sqrt%28+18x%2A2x%5E3%29

=sqrt%28+18%2A2%2Ax%2Ax%5E3%29

=sqrt%28+36x%5E4%29

=sqrt%28+6%5E2%28x%5E2%29%5E2%29

=6x%5E2
2.
sqrt%285%29%283+sqrt%285+-4%29%29
3sqrt%285%29sqrt%281%29%29
3sqrt%285%29

or, if you mean this:
sqrt%285%29%283+%28sqrt%285%29%29+-+4%29
sqrt%285%29%283+%28sqrt%285%29%29+-+4%29
3%28sqrt%285%29%2Asqrt%285%29%29+-+4%28sqrt%285%29%29

3%2A5+-+4%2A3%28sqrt%285%29%29
15+-+12%28sqrt%285%29%29