SOLUTION: directions: simplify. (rad)54w^16/150z^4. how do i simplify and whats the answer?

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Question 123577: directions: simplify. (rad)54w^16/150z^4. how do i simplify and whats the answer?
Found 2 solutions by chitra, Edwin McCravy:
Answer by chitra(359)   (Show Source): You can put this solution on YOUR website!
The given expression is:



This can be written as:








Here sqrt(6) gets canceled on both the numerator & denominator

we remain with



Thus the solution

regs

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Solution by Edwin:



Break everything into prime factors









So 



becomes



Put parentheses arond every pair of like factors which are multiplied:



Every pair of multiplied like factors is the square of that factor,
so write each pair as a square:



All the squares on top come out in front of the radical without an exponent
as a numerator.  All those on the bottom come out likewise but are in the
denominator in front.  Every factor that did not pair up stays under the
radical:



Now write  for  and  for 
and what's under the radical cancels out and leaves just 



or



or



Edwin


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