Question

Which fraction is the closest estimate to √10
1. 2 1/2
2. 3 1/5
3. 3
4. ⅒

Answer 1

Explanation:

(√10)²=10

1. (2 1/2)²=(5/2)²=25/4=6.25

2. (3 1/5)²=(16/5)²=256/25=10.24

3. 3²=9

4. (1/10)²=1/100=0.01

we see 10.24 is near to 10

so 3 1/5 is closest.