Chapter 9.1, Problem 1PSA

a

To determine

To simplify: The Value of $\sqrt{4}$ .

Answer to Problem 1PSA

Values of $\sqrt{4}$ is $2$ .

Explanation of Solution

Given information:$\sqrt{4}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{4}$

  $\begin{array}{l}\Rightarrow \sqrt{2\times 2}\\ \Rightarrow 2\end{array}$

b

To determine

To simplify: The Value of $\sqrt{27}$ .

Answer to Problem 1PSA

Values of $\sqrt{27}$ is $3\sqrt{3}$ .

Explanation of Solution

Given information:$\sqrt{27}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{27}$

  $\begin{array}{l}\Rightarrow \sqrt{3\times 3\times 3}\\ \Rightarrow 3\sqrt{3}\end{array}$

c

To determine

To simplify: Value of $\sqrt{72}$ .

Answer to Problem 1PSA

Values of $\sqrt{72}$ is $6\sqrt{2}$ .

Explanation of Solution

Given information:$\sqrt{72}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{72}$

  $\begin{array}{l}\Rightarrow \sqrt{2\times 2\times 2\times 3\times 3}\\ \Rightarrow 2\times 3\sqrt{2}\\ \Rightarrow 6\sqrt{2}\end{array}$

d

To determine

To simplify: Value of $\sqrt{32}$ .

Answer to Problem 1PSA

Values of $\sqrt{32}$ is $4\sqrt{2}$ .

Explanation of Solution

Given information:$\sqrt{32}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{32}$

  $\begin{array}{l}\Rightarrow \sqrt{2\times 2\times 2\times 2\times 2}\\ \Rightarrow 2\times 2\sqrt{2}\\ \Rightarrow 4\sqrt{2}\end{array}$

e

To determine

To simplify: Value of $\sqrt{98}$ .

Answer to Problem 1PSA

Values of $\sqrt{98}$ is $7\sqrt{2}$ .

Explanation of Solution

Given information:$\sqrt{98}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{98}$

  $\begin{array}{l}\Rightarrow \sqrt{2\times 7\times 7}\\ \Rightarrow 7\sqrt{2}\end{array}$

f

To determine

To simplify: Value of $\sqrt{200}$ .

Answer to Problem 1PSA

Values of $\sqrt{200}$ is $10\sqrt{2}$ .

Explanation of Solution

Given information:$\sqrt{200}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{200}$

  $\begin{array}{l}\Rightarrow \sqrt{2\times 2\times 2\times 5\times 5}\\ \Rightarrow 2\times 5\sqrt{2}\\ \Rightarrow 10\sqrt{2}\end{array}$

g

To determine

To simplify: Value of $\sqrt{20}$ .

Answer to Problem 1PSA

Values of $\sqrt{20}$ is $2\sqrt{5}$ .

Explanation of Solution

Given information:$\sqrt{20}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{20}$

  $\begin{array}{l}\Rightarrow \sqrt{2\times 2\times 5}\\ \Rightarrow 2\times \sqrt{5}\end{array}$

h

To determine

To simplify: Value of $\sqrt{24}$ .

Answer to Problem 1PSA

Values of $\sqrt{24}$ is $2\sqrt{6}$ .

Explanation of Solution

Given information:$\sqrt{24}$

Formula used: $\sqrt{a\times a}=a$

Calculation: $\sqrt{24}$

  $\begin{array}{l}\Rightarrow \sqrt{2\times 2\times 2\times 3}\\ \Rightarrow 2\times \sqrt{2\times 3}\\ \Rightarrow 2\sqrt{6}\end{array}$