Please tell the different properties of square numbers???
Answers
A Square number can only end with digits 0, 1, 4, 5, 6, 9.
A Square number can only end with digits 0, 1, 4, 5, 6, 9.Number of zeroes at the end of a perfect square is always even.
A Square number can only end with digits 0, 1, 4, 5, 6, 9.Number of zeroes at the end of a perfect square is always even.Square of even numbers are always even,
A Square number can only end with digits 0, 1, 4, 5, 6, 9.Number of zeroes at the end of a perfect square is always even.Square of even numbers are always even,Square of odd numbers are always odd.
A Square number can only end with digits 0, 1, 4, 5, 6, 9.Number of zeroes at the end of a perfect square is always even.Square of even numbers are always even,Square of odd numbers are always odd.If a number has 1 or 9 in its unit place,
A Square number can only end with digits 0, 1, 4, 5, 6, 9.Number of zeroes at the end of a perfect square is always even.Square of even numbers are always even,Square of odd numbers are always odd.If a number has 1 or 9 in its unit place,its square ends with 1.
A Square number can only end with digits 0, 1, 4, 5, 6, 9.Number of zeroes at the end of a perfect square is always even.Square of even numbers are always even,Square of odd numbers are always odd.If a number has 1 or 9 in its unit place,its square ends with 1.If a number has 4 or 6 in its unit place,
This is the Answer ✌️✌️✌️
Mark me brainlist ✌️✌️
Properties of square numbers
We observe the following properties through the patterns of square numbers.
Property 1 :
In square numbers, the digits at the unit’s place are always 0, 1, 4, 5, 6 or 9. The numbers having 2, 3, 7 or 8 at its units' place are not perfect square numbers.
Property 2 :
If a number has 1 or 9 in the unit's place then its square ends in 1.
Property 3 :
If a number has 2 or 8 in the unit's place then its square ends in 4.
Property 4 :
If a number has 3 or 7 in the unit's place then its square ends in 9.
Property 5 :
If a number has 4 or 6 in the unit's place then its square ends in 6.
Property 6 :
If a number has 5 in the unit's place then its square ends in 5.
Property 7 :
Consider the following square numbers :
From the square numbers given above, we infer that
Property 8 :
Consider the following square numbers :
Therefore, 100 is a perfect square and 81000 is not a perfect square.
Property 9 :
Square of even numbers is always even.
It has been illustrated in the table given below.
Property 10 :
Square of odd numbers is always odd.
It has been illustrated in the table given below.
From property 11 and property 12, we infer that
Some interesting patterns of square numbers
Addition of consecutive odd numbers :
The above figure illustrates the result that the sum of the first "n" natural odd numbers is n².
And, square of a rational number "a/b" is given by