To check whether the point (2, √5) lies on the circle centered at the origin with radius 3, we can use the distance formula for a point (x, y) on the circle:
d = √((x - 0)^2 + (y - 0)^2)
Since the center of the circle is at the origin, the x-coordinate is 0 and the y-coordinate is 0. The radius is given as 3. So, substituting these values in the above formula, we get:
3 = √((2 - 0)^2 + (√5 - 0)^2)
Simplifying the right side of the equation:
3 = √(4 + 5)
3 = √9
3 = 3
Since both sides of the equation are equal, the point (2, √5) lies on the circle centered at the origin with radius 3.