### Home > GC > Chapter 2 > Lesson 2.3.1 > Problem2-100

2-100.

Read the Math Notes box for this lesson.

1. What would be a reasonable estimate of $\sqrt { 68 }$? Explain your thinking. After you have made an estimate, check your estimation with a calculator.

$\sqrt{68} \cong 8.2 \text{ because } \sqrt{64} =8,\text{ so } \sqrt{68} \text{ must be a little higher.}$

2. Repeat this process to estimate the values below.

(1) $\sqrt { 5 }$

$2.2$

(2) $\sqrt { 85 }$

Since square root of $81$ is $9$, then square root of $85$ is a little more$≈ 9.2.$

(3) $\sqrt { 50 }$

$7.1$

(4) $\sqrt { 22 }$

$4.7$