# Question #5a2b1

Apr 13, 2017

See explanation

#### Explanation:

Assumption: the question reads $\sqrt{3} + 2$

$\sqrt{3}$ is one of the decimal values where the digits go on for ever and ever. Couple that problem with the thickness of the pencil lead and you will not be able to 'exactly' mark the spot. So you will only be able to show a 'representation' of its position on the number line.

Consider the condition of the root.

By example:$\text{ } \left(- 2\right) \times \left(- 2\right) = \left(+ 2\right) \times \left(+ 2\right) = 4$

So $\sqrt{4} = \pm 2$ thus has two answers.

Likewise we have $\pm \sqrt{3} + 2$

So the answers are approximately $+ 0.268 \mathmr{and} + 3.732$ to 3 decimal places.

So the number line will look something like this: