Question

The square of 44 is 1936. Using this find out the square of the numbers below without actually calculating them. Justify your answer.
a. 45²
b. 43²​

Answer 1

Answer:

a. $Value$ $of$ $45^2$ $is$ $2025$.

b. $Value$ $of$ $43^2$ $is$ $1849$.

Step-by-step explanation:

Given that,

$44^{2}$ = $1936$

Required to Find,

a. $45^{2}$

b. $43^{2}$

Process,

a. $45^{2}$

= $(44+1)^{2}$

= $44^{2}+2.44.1 + 1^{2}$             [As $(a + b)^{2} = a^{2} + 2ab + b^{2}$]

= $1936 + 88 + 1$

= $2025$

Ans:- $Value$ $of$ $45^2$ $is$ $2025$.

b. $43^{2}$

= $(44-1)^2$

= $44^2 - 2.44.1 + 1^2$            [As $(a-b)^2 = a^2 - 2ab + b^2$]

= $1936 - 88 + 1$

= $1849$

Ans:- $Value$ $of$ $43^2$ $is$ $1849$.