SOLUTION: How do you simplify 3/4 square root 125

Question 1017143: How do you simplify
3/4 square root 125
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do you simplify
3/4 square root 125
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Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
if you mean (3/4) * square root(125) where * means multiply, then
:
first factor 125 into it prime factors
:
125 prime factors are 5 * 5 * 5
:
since we are looking to simplify, then we can rewrite 125 as 5^2 * 5
:
Note that square root of 25 is 5
:
(3/4) * square root(125) = (3/4) * 5*square root(5) =
:
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(15*square root(5)) / 4
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