Question

For each of the following, find the least number that must be added so that the resulting number is a perfect square. 55078

• A. 157
• B. 147
• C. 156
• D. 164

Answer 1

Answer: (B)

147

Taking square root of $55078$, we find that $322$ has been left as shown above. Also, we see that $55078$ is greater than $(234{)}^2$

On adding the required number to $55078$, we get $(235{)}^2$ i.e., $55225$.

So, the required number is $55225-55078=147$

Hence, $147$ is the least number that must be added so that the resulting number is a perfect square.