Answer:
7 is between [tex]6\frac{1}{8}[/tex] and [tex]\sqrt{64}[/tex].
Step-by-step explanation:
Let x be our required number.
We are asked to find the number which lies between [tex]6\frac{1}{8}[/tex] and [tex]\sqrt{64}[/tex].
We can set an inequality as:
[tex]6\frac{1}{8}<x<\sqrt{64}[/tex]
[tex]6.125<x<\sqrt{8^2}[/tex]
[tex]6.125<x<8[/tex]
Our number will be greater than 6.125 and less than 8, therefore, 7 is between [tex]6\frac{1}{8}[/tex] and [tex]\sqrt{64}[/tex].
