164k views
13 votes
225
729
25
144

16
81

225 729 25 144 응 16 81-example-1
User Jkap
by
5.6k points

1 Answer

3 votes

Answer: 5/16

Explanation:

For this question, note that:


√(16)=4\\ \\ √(25)=5 \\\\√(81)=9\\\\√(144)=12\\\\√(225)=15\\\\√(729)=27

This means we can rewrite the given expression as:


\left((15)/(27)-(5)/(12) \right) / (4)/(9)\\\\=\left((5)/(9)-(5)/(12) \right) / (4)/(9)\\\\=\left(((5)(12)-(5)(9))/((9)(12)) \right) / (4)/(9)\\\\=(15)/(108) / (4)/(9)\\\\=(5)/(36) / (4)/(9)\\\\=(5)/(36) * (9)/(4)\\\\=(45)/(144)\\\\=\boxed{(5)/(16)}

User Gray Adams
by
6.5k points
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