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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.

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MrRoyal

Answer:

[tex]\sqrt{10} < 5[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]

Required

Fill in the gap

First, we need to solve [tex]\sqrt{10}[/tex]

[tex]\sqrt{10}= 3.162[/tex]

So:

[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]

becomes

3.162 ___ 5

3.162 lies between 3 and 4

So, we can say that

[tex]\sqrt{10}[/tex] lies between 3 and 4

Since:

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

So, we have: 3.162 < 5

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