Question

Determine the nearest integers between which Then estimate √10 to the nearest integer. √10 falls.

√10 falls between (select choice) and (select choice).

√10 estimated to nearest integers is (select choice).

1) 9, 3 or 2
2) 4, 5 or 10
3) 3, 2 or 4​

Answer 1

The square root of 10 falls between integers 3 and 4. It is estimated to 3 when rounded to the nearest integer.

Step-by-step explanation:

The question is asking to determine between which two nearest integers the square root of 10 falls and to estimate it to the nearest integer.

To find this, we can consider the perfect squares closest to 10, which are 9 (3²) and 16 (4²).

Therefore, √10 falls between 3 and 4.

To estimate √10 to the nearest integer, we compare it to the middle point between 3 and 4, which is 3.5.

Since 10 is closer to 9 than it is to 16, its square root will be closer to 3 than to 4.

Thus, we can reasonably estimate √10 as 3 when rounding to the nearest integer.