CTET 2 Math and Science 07 Jul 2024 Paper

To determine the least number to be added to 955 to make it a perfect square, we need to find the smallest integer x such that $955+\mathit{x}$ is a perfect square. Once we find x , we can then calculate the value of $3\mathit{x}+2$.
- A perfect square is a number that can be expressed as the square of an integer.
- To find the smallest x , we first need to find the nearest perfect square greater than 955 .
Calculation
Find the nearest perfect square greater than 955 :
The square root of 955 is approximately 30.90 . The next integer is 31 .
Calculate the next perfect square:
${\left(31\right)}^2=961$
Determine the value of x :
$\Rightarrow \mathit{x}=961-955=6$
Now $3\mathit{x}+2$ :
$\Rightarrow 3\mathit{x}+2=3\left(6\right)+2=18+2=20$