Question

1 penally
without using a calculator, determine which number line shows the following value:
$-sqrt{59}$

Explanation:

Step1: Find nearest perfect squares

$\sqrt{49}=7$, $\sqrt{64}=8$

Step2: Narrow down $\sqrt{59}$ range

$7<\sqrt{59}<8$

Step3: Apply negative sign to range

$-8<-\sqrt{59}<-7$

Step4: Match to number line

The first number line has a point between -8 and -7 (between -10 and -5, closer to -8).

Answer:

The correct number line is the first one (topmost option, with the point between -10 and -5, closer to -8).