What number or numbers are equal to thrice their own square root?

x = 3√x

square both sides
x^2= 9x
x^2 - 9x = 0
x(x-9) = 0
x = 0 or x = 9

To find the number or numbers that are equal to thrice their own square root, we can set up an algebraic equation and solve for the unknown number(s).

Let's assume the unknown number is x.

According to the given conditions, we have:

x = 3√x

To solve this equation, let's square both sides to eliminate the square root:

(x)^2 = (3√x)^2

x^2 = 9x

Now, rearrange the equation to bring all terms to one side:

x^2 - 9x = 0

Factor out x:

x(x - 9) = 0

From here, we have two possibilities:

1. x = 0
2. x - 9 = 0, which gives x = 9

So, the numbers that satisfy the condition of being equal to thrice their own square root are 0 and 9.