To estimate the square root of 250, we first need to find two perfect squares that are closest to 250. The square roots of 225 (which is 15) and 256 (which is 16) help us in this case, as 225 < 250 < 256.
Since 250 is closer to 256 than it is to 225, we can start with our estimate being around 16. To get a better approximation, we can try to calculate the average of 15 and 16 to see if we can refine our estimate.
15.5 is halfway, but let’s test where 15.5 squared lands us:
15.5 * 15.5 = 240.25, which is still less than 250.
A better estimate might be slightly more than 15.5. If we try 15.8:
15.8 * 15.8 = 249.64, which is very close to 250.
So, we can conclude that the square root of 250 is approximately 15.8. More accurately, the square root is around 15.811, but for estimation purposes, 15.8 gives us a solid understanding of the value.