What two integers is the square root of 12 between ? How do you know ? Please explain how you know along with the answer.

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Explanation:

The value 12 is between the perfect squares 9 and 16

This means we can write the following inequality

From here we apply the square root to all three sides and simplify like so

and we see that the square root of 12 is between 3 and 4.

Using a calculator would confirm this

Step-by-step explanation:

Find the numbers closest to 12 on either side that are perfect squares:

1, 4, 9, 16, 25

12 is in between the numbers 9 and 16. The square root of 9 is 3 and the square root of 16 is 4. Therefore, the square root of 12 is in between 3 and 4.

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Explanation: