Question

What is 39 squared?

Answer 1

Hint: For solving this question you should know about the square of any value. The square of any value is equal to the second order or the 2 powers of that value, which directly means that the same value will multiply by itself for one time, which is known as the square of any value.

Complete step-by-step solution:
In our question it is asked to calculate the square of 39. So, for calculating the square of any number we will multiply that by the same number. For any number square means $2^{nd}$ power of that number. If the given number for which we have to calculate the square is big, then we divide it between two parts and the parts are like that if we add them, then the desired number will occur again. So, generally we divide it with the near whole square value, whose square is known or easy to calculate the square of both of the parts. We divide them in the addition form like a + b or we divide them in the subtraction form a - b. And both the numbers a and b are easy for calculating the square of this number.
By this method we can calculate the square of the same with division.
Our number for being squared is 39. We can write 39 as 40 - 1, so,
$\begin{array}{rl}& \Rightarrow 39=40-1\\ & \Rightarrow {\left(39\right)}^2={(40-1)}^2\\ & \Rightarrow {\left(39\right)}^2={\left(40\right)}^2-2\left(1\right)\left(40\right)-{\left(1\right)}^2\\ & \because {(a-b)}^2=a^2-2ab+b^2\end{array}$
If we solve this equation, then we get,
$\begin{array}{rl}& {\left(39\right)}^2=1600-80+1\\ & \Rightarrow {\left(39\right)}^2=1521\end{array}$
So, the answer for the square of 39 is 1521.

Note: For calculating the square of any value by the division method you should divide your number in two parts as in a way that the calculation for the square will be easy and it will be possible if we subtract or add any number in the nearly present square numbers or the known square for calculating the square of something by this method because there can be some mistakes during calculating in this. So, we can calculate the square by another method as follows:
We have to calculate the square of 39. So,
$x=39$
The square of any value $=x^2$
$\begin{array}{rl}& \Rightarrow x^2=x.x\\ & \Rightarrow {\left(39\right)}^2=39\times 39\\ & \Rightarrow {\left(39\right)}^2=1521\end{array}$