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The larger of two integers is 8 times the smaller. Explain why they can’t both be perfect squares.

 May 29, 2021

Best Answer 

 #1
avatar+33737 
+2

x  and  8x  if  x is a perfect square then

 

sqrt (x) = integer       then sqrt (8x) = integer * sqrt 8         you are stuck with sqrt 8 as a factor.....not an integer

 May 29, 2021
 #1
avatar+33737 
+2
Best Answer

x  and  8x  if  x is a perfect square then

 

sqrt (x) = integer       then sqrt (8x) = integer * sqrt 8         you are stuck with sqrt 8 as a factor.....not an integer

ElectricPavlov May 29, 2021
 #2
avatar+389 
+3

thanks that will help. 

 May 29, 2021

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