Question

use the number line to answer the question.
which point on the number line best represents the location of $sqrt{60}$.

Explanation:

Step1: Find nearest perfect squares

$7^2=49$, $8^2=64$

Step2: Compare $\sqrt{60}$ to integers

$49<60<64$, so $7<\sqrt{60}<8$

Step3: Calculate distance to perfect squares

$60-49=11$, $64-60=4$. $\sqrt{60}$ is closer to $\sqrt{64}=8$.

Step4: Match to number line points

Points D, E, F are between 7 and 8; F is closest to 8, E is mid-range, D is near 7. $\sqrt{60}\approx7.746$, so it is closest to E.

Answer:

E