square if any number is always maths
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Square of any number is always Non-Negative
Square of a number is basically number multiplied by the number itself.
a² = a × a
Take few case a < 0
a = 0
a > 0
a < 0 => a = -x where x is positive
a² = (-x)² = (-x) * (-x)
(-)(-) = +
= x * x
Hence positive as x is positive
a = 0
=> a² = 0 ( non negative)
a > 0
=> a² = Positive
Hence Square of any number is Non negative
for example
(-2)² = 4
0² = 0
3² = 9
All are non negative
Note : Square of all non zero numbers is Positive
Learn More:
prove that square of any positive integer is of the form 9k or 9k+1 ...
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