If I wanted to estimate 59−−√
, the first step would be to find the two ____ squares that 59 lies ____ on the number line. The closest perfect square less than 59 is ____. The closest perfect square greater than 59 is ____. I could then think about the number 59 and how close it is to the smaller perfect square and the larger perfect square. I could then take the ____ root of the perfect squares to see how I would estimate 59−−√
. The 59−−√
is closest to ____
If you wanted to estimate √59, the first step would be to find the two closest squares that 59 lies between on the number line. The closest perfect square less than 59 is 49. The closest perfect square greater than 59 is 64.
You could then think about the number 59 and how close it is to the smaller perfect square (49) and the larger perfect square (64).
You could then take the square root of the perfect squares (49 and 64) to see how you would estimate √59.
The √59 is closest to the square root of 64, which is 8.