Square root

Technically, $\sqrt{9801}$ implies the positive square root, but I get what you are trying to do.

The problem should be find the sum of all possible solutions of x^2=9801

Solution is positive and negative. Their absolute value is the same. For example $\sqrt{1}$ has two solutions, which is $\pm{} 1$ . Adding these two will give 0. $\sqrt{9801}$ also has solutions $\pm\sqrt{9801}$ . Adding these two gives $\boxed{0}$

The value of any square root(that is not imaginary) can be positive or negative, because when you square them they become positive. Therefore, it is 0 because the two solutions are opposites.

√9801 = ± 99

+99 – 99 = 0

99 + (-99) = 0

What? A square root should be a positif number