Question

Which number is between 6 1/8 and the square root of 64?

Answer 1

the square root of 64 is 8

Answer 2

7 is between
`6(1)/(8)` and
`√(64)`.

Explanation:

Let x be our required number.

We are asked to find the number which lies between
`6(1)/(8)` and
`√(64)`.

We can set an inequality as:

`6(1)/(8)<x<√(64)`

`6.125<x<√(8^2)`

`6.125<x<8`

Our number will be greater than 6.125 and less than 8, therefore, 7 is between
`6(1)/(8)` and
`√(64)`.