Question

the number line shows four points. which point represents the approximate location of $sqrt{75}$?
a point a
b point b
c point c
d point d

Explanation:

Step1: Find nearby perfect squares

We know $8^2=64$ and $9^2=81$

Step2: Locate $\sqrt{75}$ between them

Since $64<75<81$, we get $\sqrt{64}<\sqrt{75}<\sqrt{81}$, so $8<\sqrt{75}<9$

Step3: Match to number line point

Point B lies between 8 and 9, so it is the location of $\sqrt{75}$.

Answer:

B. point B