Question

Is $2352$ a perfect square ? If not, find the greater number closest to $2352$, which is a perfect square. Find the square root of the new number.

• A. Yes, $2352$ a perfect square.
• B. No, $2352$ is not a perfect square else $2304$ is closest perfect square.
  Square root of $2304is48$
  
• C. No, $2352$ is not a perfect square else $2401$ is closest perfect square.
  Square root of $2401is49$
• D. Data insufficient
  

Answer 1

The correct option is C No, $2352$ is not a perfect square else $2401$ is closest perfect square.

Square root of $2401is49$
We have 2352 = $\underset{–}{2\times 2}\times \underset{–}{2\times 2}\times 3\times \underset{–}{7\times 7}$
As the prime factor 3 has no pair 2352 is not a perfect square

Nearest no. bigger than $2352$ and square is $2401=49\times 49$