SOLUTION: Can someone please help explain how to correctly solve this. Simplify the expression. (Assume that all variables are positive.) w^3/2 {{{ sqrt( 72 ) }}} - w^3/2 {{{ sqrt

Algebra ->  Radicals -> SOLUTION: Can someone please help explain how to correctly solve this. Simplify the expression. (Assume that all variables are positive.) w^3/2 {{{ sqrt( 72 ) }}} - w^3/2 {{{ sqrt      Log On


   

Question 1132982: Can someone please help explain how to correctly solve this.
Simplify the expression. (Assume that all variables are positive.)

w^3/2 ++sqrt%28+72+%29+ - w^3/2 ++sqrt%28+98+%29+

Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
sqrt%2872%29 = sqrt%2836%2A2%29 = 6%2Asqrt%282%29.


sqrt%2898%29 = sqrt%2849%2A2%29 = 7%2Asqrt%282%29.


Therefore,


w^(3/2)*sqrt(72) - w^(3/2)*sqrt(98) = 6*sqrt(2)*w^(3/2) - 7*sqrt(2)*w^(3/2) = -sqrt(2)*w^(3/2).


Answered,  explained,  solved and completed.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
I guess you have this:

+w%5E%283%2F2%29%2Asqrt%28+72+%29+-+w%5E%283%2F2%29%2A+sqrt%28+98+%29+

+sqrt%28w%5E3%29%2Asqrt%286%5E2%2A2+%29+-+sqrt%28w%5E3%29%2A+sqrt%28+7%5E2%2A2+%29+

+w%2Asqrt%28w%29%286sqrt%282%29+-++7sqrt%282%29%29+

+w%2Asqrt%28w%29%28-sqrt%282%29%29+

+-w%2Asqrt%28w%29%2Asqrt%282%29+

+-w%2Asqrt%282w%29+