Question

The least number that must be added to $1,300$ to get a perfect square is . Also, the square root of the obtained perfect square is .

Answer 1

Let's find the square root of $1,300$ by long division method.


Here, the remainder is $4.$ Hence, ${36}^2<1,300.$ And, the next perfect square is ${37}^2=1,369.$

So, the least number that to be added with $1,300$ to get the perfect square is $1,369-1,300=69.$

and $\sqrt{1,300+69}=\sqrt{1,369}=37.$