1. Square
of the number whose all digits are 1.
First let us check that how many times 1 is appeared,
suppose 1 is appeared n times, so now start to write 1 to n in increasing order
and then from n write in the decreasing order upto 1.
General Formula-
(111111……..upto n)^2 =12345…………..n………………..54321
Examples-
• (1)^2
= 1
• (11)^2
= 121
• (111)^2
= 12321
• (1111)^2
=1234321
• (11111)^2
=123454321
• (111111)^2
=12345654321
• (1111111)^2
=1234567654321
• (11111111)^2
=123456787654321
• (111111111)^2
=12345678987654321
2. Square
of the number whose all digits are 3.
First let us check that how many times 3 is appeared,
suppose 3 is appeared 3 times, so now start to write (3-1=2) times 1 and then 0
and then (3-1=2) times 8 and then 9 i.e. (333)^2 =110889.
More Examples-
• (3)^2
= 9
• (33)^2
=1089
• (333)^2
=110889
• (3333)^2
=11108889
• (33333)^2
=1111088889
• (333333)^2
=111110888889
• (3333333)^2
=11111108888889
• (33333333)^2
=1111111088888889
3. Square
of the number whose all digits are 9.
First let us check that how many times 9 is appeared,
suppose 4 is appeared 5 times, so now start to write (5-1=4) times 9 and then 8
and then (5-1=4) times 0 and then 1 i.e. (99999)^2 =9999800001.
More Examples-
• (9)^2
= 81
• (99)^2
=9801
• (999)^2
=998001
• (9999)^2
=99980001
• (99999)^2
=9999800001
• (999999)^2
=999998000001
• (9999999)^2
=99999980000001
• (99999999)^2
=9999999800000001
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