SOLUTION: please simplify this radical expression. -3sqrt180h^4

Algebra ->  Radicals -> SOLUTION: please simplify this radical expression. -3sqrt180h^4      Log On


   

Question 83606: please simplify this radical expression. -3sqrt180h^4
Found 2 solutions by jim_thompson5910, uma:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-3%2Asqrt%28180h%5E4%29 Start with the given expression
-3%2Asqrt%2836%2A5%2Ah%5E2%2Ah%5E2%29 Factor 180 into 36*5 and h%5E4 into h%5E2%2Ah%5E2
-3%2Asqrt%2836%29%2Asqrt%285%29%2Asqrt%28h%5E2%29%2Asqrt%28h%5E2%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29
-3%2A6%2Asqrt%285%29%2Ah%2Ah Take the square root of any perfect square
-18h%5E2%2Asqrt%285%29 Multiply. So this is the simplified result

Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
Given -3 sqrt(180h^4)
= -3 sqrt(180)sqrt(h^4)
= -3 sqrt(36 x 5) sqrt(h^4)
= -3 sqrt(36) sqrt(5) sqrt(h^4)
= -3 x 6 sqrt(5) h^2
= -18h^2sqrt(5)