Chapter 9.1, Problem 2PSA

a

To determine

To calculate: Simplified value of $5\sqrt{18}$ .

Answer to Problem 2PSA

The Simplified value of $5\sqrt{18}$ is $10\sqrt{3}$ .

Explanation of Solution

Given information:$5\sqrt{18}$

Calculation: $5\sqrt{18}$

  $\begin{array}{l}\Rightarrow 5\sqrt{2\times 3\times 3}\\ \Rightarrow 5\times 2\sqrt{3}\\ \Rightarrow 10\sqrt{3}\end{array}$

b

To determine

To calculate: Simplified value of $\sqrt{4+9}$ .

Answer to Problem 2PSA

Simplified value of $\sqrt{4+9}$ is $\sqrt{13}$ .

Explanation of Solution

Given information:$\sqrt{4+9}$

Calculation: $\sqrt{4+9}$

  $\Rightarrow \sqrt{13}$

c

To determine

To calculate: Simplified value of $\sqrt{3^2+4^2}$ .

Answer to Problem 2PSA

Simplified value of $\sqrt{3^2+4^2}$ is $5$ .

Explanation of Solution

Given information:$\sqrt{3^2+4^2}$

Calculation: $\sqrt{3^2+4^2}$

  $\begin{array}{l}\Rightarrow \sqrt{9+16}\\ \Rightarrow \sqrt{25}\\ \Rightarrow \sqrt{5\times 5}\\ \Rightarrow 5\end{array}$

d

To determine

To calculate: Simplified value of $\sqrt{5^2+{12}^2}$ .

Answer to Problem 2PSA

Simplified value of $\sqrt{5^2+{12}^2}$ is $13$ .

Explanation of Solution

Given information:$\sqrt{5^2+{12}^2}$

Calculation: $\sqrt{5^2+{12}^2}$

  $\begin{array}{l}\Rightarrow \sqrt{25+144}\\ \Rightarrow \sqrt{169}\\ \Rightarrow \sqrt{13\times 13}\\ \Rightarrow 13\end{array}$

e

To determine

To calculate: Simplified value of $\frac{1}{6}\sqrt{48}$ .

Answer to Problem 2PSA

Simplified value of $\frac{1}{6}\sqrt{48}$ is $\frac{\sqrt{3}}{3}$ .

Explanation of Solution

Given information:$\frac{1}{6}\sqrt{48}$

Calculation: $\frac{1}{6}\sqrt{48}$

  $\begin{array}{l}\Rightarrow \frac{1}{6}\sqrt{2\times 2\times 2\times 2\times 3}\\ \Rightarrow \frac{1}{6}\times 2\times 2\sqrt{3}\\ \Rightarrow \frac{1}{6}\times 2\sqrt{3}\\ \Rightarrow \frac{\sqrt{3}}{3}\end{array}$

f

To determine

To calculate: Simplified value of $\sqrt{49\cdot 3}$ .

Answer to Problem 2PSA

Simplified value of $\sqrt{49\cdot 3}$ is $7\sqrt{3}$ .

Explanation of Solution

Given information:$\sqrt{49\cdot 3}$

Calculation: $\sqrt{49\cdot 3}$

  $\begin{array}{l}\Rightarrow \sqrt{49}\times \sqrt{3}\\ \Rightarrow \sqrt{7\times 7}\times \sqrt{3}\\ \Rightarrow 7\sqrt{3}\end{array}$