Respuesta :

Step 1

Given;

[tex]Estimate\text{ the radical by identifying which two consecutive integers it falls between}[/tex]

Step 2

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are; -1.43, 1 3/4, 3.14,0.09, and 5,643.1.

We know that the perfect squares between √11 are;

[tex]\begin{gathered} \sqrt{9}\text{ and }\sqrt{16} \\ \sqrt{9}=3 \\ \sqrt{16}=4 \\ \sqrt{11}=3.31662479 \end{gathered}[/tex]

Hence, the answer will be;

[tex]\begin{gathered} \sqrt{11}\text{ is between the integers 3 and 4} \\ 3<\text{ }\sqrt{11}\text{ }<4 \end{gathered}[/tex]