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

Answer:

$\sqrt{10} < 5$

Step-by-step explanation:

Given

$\sqrt{10}$ ___ $5$

Required

Fill in the gap

First, we need to solve $\sqrt{10}$

$\sqrt{10}= 3.162$

So:

$\sqrt{10}$ ___ $5$

becomes

3.162 ___ 5

3.162 lies between 3 and 4

So, we can say that

$\sqrt{10}$ lies between 3 and 4

Since:

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

So, we have: 3.162 < 5