Question

An example of a perfect square is:

• A. $729$
• B. $69$
• C. $623$

Answer 1

The correct option is A

$729$

Perfect Square:

If a natural number $m$ can be expressed as $n^2$ i.e., $m=n^2$where $n$ is also a natural number, then $m$ is called a square number or a perfect square.

For example: $4$ can be expressed as $4=2^2$ and $9$ can be expressed as $9=3^2$ , so $4$ and $9$ are perfect squares or square numbers.

Since, $729$ can be expressed as $729=27\times 27={27}^2$.

Therefore, $729$ is an example of a perfect square.

Explanation for the incorrect options:

Option (B). $69$

Since, $69$ cannot be expressed as a square of another natural number, therefore it is not an example of a perfect square.

Option (C). $623$

Since, $623$ cannot be expressed as a square of another natural number, therefore it is not an example of a perfect square.

Hence, the correct option is (A) i.e., $729$.