SOLUTION: Simplify: 3 sqrt 75 ÷ sqrt 27 Here's how I tried to solve it: 3 sqrt 75 ÷ sqrt 27 3 sqrt 25*3 ÷ sqrt 9*3 3*5 sqrt 3 ÷ 3 sqrt 3 15 sqrt 3 ÷ 3 sqrt 3 I then cancel

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Question 1037462: Simplify: 3 sqrt 75 ÷ sqrt 27

Here's how I tried to solve it:
3 sqrt 75 ÷ sqrt 27
3 sqrt 25*3 ÷ sqrt 9*3
3*5 sqrt 3 ÷ 3 sqrt 3
15 sqrt 3 ÷ 3 sqrt 3 I then cancel out the 3 radicals to get:
15/3
15/3= 5 (the answer I thought was correct)
I check the answer key,

the correct answer is 25/3.
I'm having trouble figuring out how that could be the answer. I feel like I probably went wrong when I cancelled the radicals.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Your answer is correct, the answer key is wrong.
Well done!

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