Question

Plot the approximate location of √6 on the number line. -1 0 1 2 3 4 5 6 7

Answer 1

We need to plot the approximate location of √6 on the number line.

The square root of 6 is the number that, when squared, results in 6. Since this is not a rational number, we need to find an approximation to it so we can plot it on the number line.

Let's say that A is the square root of 6. Then, we must have:

`A\cdot A=A^2=6`

Now, notice that:

`\begin{gathered} 2^2=2\cdot2=4 \\ \\ 3^2=3\cdot3=9 \end{gathered}`

Since 6 is between 4 and 9, the square root of 6 is between 2 and 3. Therefore, we need to plot √6 between those numbers on the number line.

Answer: