Question

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 1

`1.40<√(2)<1.42\\1.72<√(3)<1.74\\1.99<√(4)<2.01\\2.23<√(5)<2.25\\2.44<√(6)<2.46`

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