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+x is a perfect square. Once we find x , we can then calculate the value of 3x+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: (31)2=961 Determine the value of x : ⇒x=961−955=6 Now 3x+2 : ⇒3x+2=3(6)+2=18+2=20