Question

Is 10−−√ greater than, less than, or equal to 5? Use the drop-down menus to explain your answer. Because 10 lies between two consecutive perfect squares, Choose... , 10−−√ is located between the Choose... of these two numbers. This means that 10−−√ is located between Choose... , so 10−−√ is Choose... 5.

Answer 1

`√(10) < 5`

Explanation:

Given

`√(10)` ___
`5`

Required

Fill in the gap

First, we need to solve
`√(10)`

`√(10)= 3.162`

So:

`√(10)` ___
`5`

becomes

3.162 ___ 5

3.162 lies between 3 and 4

So, we can say that

`√(10)` lies between 3 and 4

Since:

3.162 is less than 5, the gap can be filled with <.

So, we have: 3.162 < 5