Question

find a square of 11^2​

Answer 1

11^2=121

then 121square=121^2

=14641

Answer 2

Different Ways to find the Square of 11 are provided below

Way No.1: Direct multiplying

$11 \times 11 = 121$

So, 121 is the square of 11

Way No.2: Using Identity

Instead of using direct formula u can used some algebraic identities

1st Identity: (a+b)^2 = a^2 + 2ab + b^2

So,

We can write 11 as (10+1)

= (10+1)^2

= (10)^2 + 2(10)(1) + (1)^2

= 100 + 20 + 1

= 121

2nd Identity: (a-b)^2 = a^2 - 2ab + b^2

We can write 11 as (20-9)

= (20-9)^2

= (20)^2 - 2(20)(9) + (9)^2

= 400 - 360 + 81

= 121

So, Square of 11 is 121

Tips:

• Better use direct Multiplication in 1 or 2 digit numbers.
• You can use identities in 4 or bigger digit numbers.