Question

Evaluating RadicalsQuestion: Estimate the radical by identifying which two consecutive integers it falls in between.

Answer 1

Step 1

Given;

`Estimate\text{ the radical by identifying which two consecutive integers it falls between}`

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;

`\begin{gathered} √(9)\text{ and }√(16) \\ √(9)=3 \\ √(16)=4 \\ √(11)=3.31662479 \end{gathered}`

Hence, the answer will be;

`\begin{gathered} √(11)\text{ is between the integers 3 and 4} \\ 3<\text{ }√(11)\text{ }<4 \end{gathered}`