### Home > MC2 > Chapter 11 > Lesson 11.3.2 > Problem11-101

11-101.

Estimate each square root below to the nearest tenth. Then check your estimate on your calculator. Be sure to write down your estimate before you check!

1. $\sqrt { 45 }$

The squares of what integers are near $45$?

The square of $6$ is $36$, and the square of $7$ is $49$. The answer must be between $6$ and $7$.

When you use your calculator to check, you find that the answer is approximately $6.7$.

1. $\sqrt { 260 }$

See part (a).

$...12^{2} = 144$
$13^{2} = 169$
$14^{2} = 196$
$15^{2} = 225$
$16^{2} = 256$
$17^{2} = 289...$

The answer must be between $16$ and $17$.

$16.1$

1. $\sqrt { 650 }$

See part (a) and (b).

$25.5$

1. $\sqrt { 57 }$

See part (a) and (b).