The approximate locations of values are used when the actual locations cannot be determined
The values of [tex]\sqrt 5[/tex], [tex]\sqrt 6[/tex] and [tex]\sqrt 7[/tex] are greater than [tex]\sqrt 4[/tex] but less than [tex]\sqrt 9[/tex]
From the question, we have the endpoints to be
[tex]\sqrt 4[/tex] and [tex]\sqrt 9[/tex]
The numbers [tex]\sqrt 5[/tex], [tex]\sqrt 6[/tex] and [tex]\sqrt 7[/tex] have their basis to be 5, 6 and 7.
Numbers 5, 6 and 7 are between the basis of [tex]\sqrt 4[/tex] and [tex]\sqrt 9[/tex] i.e. 4 and 9
This means that the actual values of [tex]\sqrt 5[/tex], [tex]\sqrt 6[/tex] and [tex]\sqrt 7[/tex] are between [tex]\sqrt 4[/tex] and [tex]\sqrt 9[/tex].
In other words, the values of [tex]\sqrt 5[/tex], [tex]\sqrt 6[/tex] and [tex]\sqrt 7[/tex] are greater than [tex]\sqrt 4[/tex] but less than [tex]\sqrt 9[/tex]
Read more about approximations at:
https://brainly.com/question/10171109
