Question

Estimate: $\sqrt{60}$

• A. $7.7$
• B. $7$
• C. $7.2$
• D. $7.5$

Answer 1

The correct option is A $7.7$

$60$ is in between two perfect squares: $49$, which is $7^2$ and $64$ which is $8^2$. The difference between $64$ and $49$ is $15$ so $60$ is little more than $\frac{2}{3}$ of the way toward $64$ from $49$. A reasonable estimate for $\sqrt{60}$, then would be about $7.7$ which is a little more than $\frac{2}{3}$ toward $8$ from $7$.