SOLUTION: Hi, I'm not sure how to type this hear. I'm having exams this week and I'm stumped on a couple of questions. I'll do the best I can. 3 square root of 250 minus 3 square root o

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Question 141524: Hi, I'm not sure how to type this hear. I'm having exams this week and I'm stumped on a couple of questions. I'll do the best I can.
3 square root of 250 minus 3 square root of 54 = ?
Thanks for your help!!

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


Break  down into primes factors:



Break  down into prime factors:



Substitute these prime factorizations 
under the radical:



Use parentheses to group all pairs of like factors:  

(We group by twos since it is a square root; 
if it were a cube root we would group by threes)



The  is equivalent to  so we
take out only a single  out in front of the
radical:



 The  is equivalent to  so we
take out only a single  out in front of the
radical:





Edwin

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