Q. 8.11TI - Intermediate Algebra

Question

Round to two decimal places:

$\left(a\right)\sqrt{11} \left(b\right)\sqrt[3]{71} \left(c\right)\sqrt[4]{127}$

Step-by-Step Solution

Answer

The solutions of (a), (b) and (c) are $3.32, 4.14 and 3.36$ respectively.

Part (a) Step 1. Given information

The root: $\sqrt{11}$

Part (a) Step 2. Calculation

We have,

$$\begin{gathered} \sqrt{11} \\ =3.31662479036 \\ =3.32 Round to two decimal places \end{gathered}$$

Therefore, the solution is 2

Part (b) Step 1. Given information

The root: $\sqrt[3]{71}$

Part (b) Step 2. Calculation

We have,

$$\begin{gathered} \sqrt[3]{71} \\ =4.14081774942 \\ =4.14 Round to two decimal places \end{gathered}$$

Therefore, the solution is $\sqrt[3]{71}\approx 4.14$

Part (c) Step 1. Given information

The root: $\sqrt[4]{127}$

Part (c) Step 2. Calculation

We have,

$$\begin{gathered} \sqrt[4]{127} \\ =3.3569968229929 \\ =3.36 Round to two decimal places \end{gathered}$$

Therefore, the solution is $\sqrt[4]{127}\approx 3.36$