Estimate the square root. Round to the nearest integer.
√242 What I got was 58,584 is this correct?
you went "the wrong way"
you should know that the nearest perfect squares to 242 are 256 and 225
that is,
√256 = 16 and √225 = 15
so √242 is between 15 and 16 , being closer to 16
since you were supposed to round to the nearest integer
√242 = appr 16
(you obviously used your calculator and actually squared 242 to get 58584. The whole point of "estimating" is NOT to use a calculator. Besides squaring instead of taking the square root, I would call that two strikes against you)
58,584
To estimate the square root of 242, we can find the perfect squares that are nearest to 242. The perfect squares closest to 242 are 225 (15^2) and 256 (16^2). Since 242 is closer to 225, we can estimate the square root of 242 to be around 15. Therefore, the rounded nearest integer value for √242 is 15, not 58,584.
To estimate the square root of 242 and round to the nearest integer, you can use the following steps:
1. Start by finding two perfect square numbers between which 242 lies. In this case, the perfect square numbers are:
- 15^2 = 225
- 16^2 = 256
2. Since 242 is closer to 225 than 256, we can estimate that the square root of 242 is slightly closer to the square root of 225, which is 15.
Therefore, the rounded estimate for the square root of 242 is 15.