Respuesta :

the square root of 64 is 8

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].