Q. 24 - Intermediate Algebra

Question

In the following exercises, approximate each root and round to two decimal places. 

$ⓐ \sqrt{21} ⓑ \sqrt[3]{93} ⓒ \sqrt[4]{101 }$

Step-by-Step Solution

Answer

Part(a)$\sqrt{21}\approx 4.58$

Part(b)$\sqrt[3]{93}\approx 4.53$

Part(c) $\sqrt[4]{101}\approx 3.17$

Part(a) Step 1. Given information

(a) $\sqrt{21}$

Approximate each root and round to two decimal places 

Step 2.Explanation

Use the calculator square root key. 

$\sqrt{21}=4.5825756949558$

Round to two decimal places. 

$\Rightarrow 4.58$

$\sqrt{21}\approx 4.58$

Part (b) Step 3. Given information

(b)$\sqrt[3]{93}$

Approximate each root and round to two decimal places 

Step 4. Explanaiton

Use the calculator.

$$\begin{gathered} \sqrt[3]{93}= 4.5306548960835 \\ \sqrt[3]{93}\approx = 4.53 \end{gathered}$$

Part(c) Given inforamtion

(c)$\sqrt[4]{101 }$

Approximate each root and round to two decimal places.

Setep 6. Explanation

Use the calculator 

$$\begin{gathered} \sqrt[4]{101}=3.1701538797227 \\ \sqrt[4]{101}=3.17 \end{gathered}$$