Question

What two perfect squares is the square root of 11 between?

Answer 1

We can determine which two perfect squares the square root of 11 is between by evaluating the square roots of the perfect squares immediately before and after 11.

The perfect squares immediately before and after 11 are 9 and 16, respectively, since 3² = 9 and 4² = 16.

Therefore, we have:

3 < √11 < 4

Squaring both sides of each inequality, we get:

9 < 11 < 16

So √11 is between the perfect squares of 9 and 16, which are 3² and 4², respectively.

Answer 2

Explanation:

Step 1: 11 lies between two perfect squares 9 and 16.

Step 2: Since 32=9 and 42=16 , so the square root of 11 will lie between 3 and 4.

Hopefully this answers your question! :)