Question

Find the square of 85?

Answer 1

Hint: Square of any number means that we have to multiply that number with itself. So, to find the square of 85, we will multiply 85 with itself i.e. $85\times 85$. The multiplication will give us the required result.

Complete step-by-step answer:
Let’s consider for a digit ‘a’, it’s square can be denoted as ${{a}^{2}}$ which is equal to ${{a}^{2}}=a\times a$.
Like if we want to find the square of 1, we just have to multiply 1 with itself
${{1}^{2}}=1\times 1=1$
Similarly,
$\begin{align}
  & {{5}^{2}}=5\times 5=25 \\
 & {{8}^{2}}=8\times 8=64 \\
\end{align}$
And so on…
So, the square of 85 can be denoted as ${{85}^{2}}$ which is equal to
${{85}^{2}}=85\times 85=7225$
Hence, the square of 85 is 7225.
This is the required solution of the given question.

Note: The multiplication of $85\times 85$ can be done easily as follows.
Trick to multiplication: If the sum of the right digits is equal to 10 and the left digits are same then the right part of the result is the multiplication of two right digits and the left part of the result is the multiplication of the left digit and the digit exceeding by ‘1’ from itself. Both parts together form the solution.
For example, in $85\times 85$
The sum of right digits$=5+5=10$ and the left digit is the same i.e. 8.
So the right part of the result$=5\times 5=25$
And the left part of the result$=8\times \left( 8+1 \right)=8\times 9=72$
Together the solution$=7225$
Hence, the square of 85 is 7225.