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A very large number x is equal to 2^2*3^3*4^4*5^5*6^6. What is the smallest positive integer that, when multiplied with x, produces a product that is a perfect square?

 Apr 22, 2022

Best Answer 

 #1
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For the number to be a perfect square, each of its factors must be a power of 2. 

 

To do this, we need a \(3 \times 5 = \color{brown}\boxed{15}\)

 Apr 22, 2022
 #1
avatar+1370 
+2
Best Answer

For the number to be a perfect square, each of its factors must be a power of 2. 

 

To do this, we need a \(3 \times 5 = \color{brown}\boxed{15}\)

BuilderBoi Apr 22, 2022

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