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For how many different integers is the square of the integer less than 144?

 Oct 25, 2014

Best Answer 

 #1
avatar+5478 
+23

First find the square roots of 144, which are 12 and -12.

So now you know that the square of any integer less than 12 and greater than -12 would be less than 144.

That includes:

 

0, ±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8, ±9, ±10, ±11

 

Which would be 23 integers, including zero.

 Oct 25, 2014
 #1
avatar+5478 
+23
Best Answer

First find the square roots of 144, which are 12 and -12.

So now you know that the square of any integer less than 12 and greater than -12 would be less than 144.

That includes:

 

0, ±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8, ±9, ±10, ±11

 

Which would be 23 integers, including zero.

kitty<3 Oct 25, 2014

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