Question

Find the square of the number 17.
(a) 289
(b) 298
(c) 246
(d) 281

Answer 1

Hint: We know that the square of a number is defined as the product of the number with itself, i.e., when a number is multiplied by itself the result we get is the square of a number. So, to get the square of the number 17, multiply 17 by itself and report the answer.

Complete step-by-step answer:
Before moving to the exact solution to the above question, we will understand the meaning of the term square of a number.
We know that the square of a number is defined as the product of the number with itself, i.e., when a number is multiplied by itself the result we get is the square of a number. The square of a number is represented by a 2 written in the superscript of the number. For example: The square of a number ‘k’ is represented by $ {{k}^{2}} $ and is given by:
 $ {{k}^{2}}=k\times k $
Now, let us move to finding the square of 17. We know that the square of 17 is represented by $ {{17}^{2}} $ and is given by $ {{17}^{2}}=17\times 17 $ . So, let us find its exact value:
\[\begin{align}
  & \text{ 17} \\
 & \underline{\times \text{17}} \\
 & 119 \\
 & \underline{17\times } \\
 & 289 \\
\end{align}\]
Hence, we can conclude that $ {{17}^{2}}=17\times 17=289 $ . Therefore, the answer to the above
So, the correct answer is “Option A”.

Note: Don’t get confused between the square and square root of the number. The number multiplied by itself is the square of a number while the square root of the number is a number whose square is the original number. Also, if you want you can solve the above question by eliminating the options as well. We know that the square of a number with unit digit 7 must have 9 as its unit digit and there is a single option which has unit digit 9. So, the answer is option (a).