Question

Fill in the blank with $‘‘Yes/No"$ for the following statement.

Is $276$ a perfect square?

Answer 1

$\underset{–}{\text{Need to find:}}$ $276$ is perfect square or not.

Prime factorization of $276=2\times 2\times 3\times 23$ as elaborated below.


Here, the prime factors $3$ and $23$ do not occur in pair.

We know for any perfect square, after prime factorization, the prime factors will always be in pair(s).

$\therefore$ $276$ is not a perfect square.