SOLUTION: How does: 1/24*(24/5)^(1/2) = (1/(24*5))^(1/2) which comes to (1/120)^(1/2) This seems quite easy yet I can't figure it out. I did find that if I square 1/24 I get 1/576

SOLUTION: How does: 1/24(24/5)^(1/2) = (1/(245))^(1/2) which comes to (1/120)^(1/2) This seems quite easy yet I can't figure it out. I did find that if I square 1/24 I get 1/576

Question 1016400: How does:
1/24*(24/5)^(1/2) = (1/(24*5))^(1/2)
which comes to (1/120)^(1/2)
This seems quite easy yet I can't figure it out.
I did find that if I square 1/24 I get 1/576 and if I square the root I get 24/5.
Then I found this 1/576*24/5 cancels down to 1/120. However the answer in the book is (1/120)^(1/2).
If anyone could help with this I would really appreciate it.
Thank you in advance.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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To start:
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