Directions: Using only numbers 1-6 (and only once per inequality), fill in the boxes to create a true statement with the smallest possible interval:

Answer:
[tex]1.40<\sqrt{2}<1.42\\1.72<\sqrt{3}<1.74\\1.99<\sqrt{4}<2.01\\2.23<\sqrt{5}<2.25\\2.44<\sqrt{6}<2.46[/tex]
Step-by-step explanation:
√2=1.41
So, the smallest possible interval will be 1.40 and 1.42
√3=1.73
So, the smallest possible interval will be 1.72 and 1.74
√4=2.00
So, the smallest possible interval will be 1.99 and 2.01
√5=2.24
So, the smallest possible interval will be 2.23 and 2.25
√6=2.45
So, the smallest possible interval will be 2.44 and 2.46