Chapter 8.9, Problem 23WE

To determine

To find: the value of square root by using the table.

Answer to Problem 23WE

The value of cube root is $2.9596$ .

Explanation of Solution

Given information:

The cube root is $\sqrt[3]{26.8}$ .

Calculation: let $\sqrt[3]{26.8}=\sqrt[3]{10N}$ where $N=2.6\text{ and }N=2.7$ .

$x$	$\sqrt[3]{x}$
$26$	$2.930$
$26.8$	$\sqrt[3]{26.8}$
$27$	$2.967$

Now, the difference,

  $\begin{array}{l}d=\frac{.8}{1}\left(0.037\right)\\ d=0.0296\text{ [simplify]}\end{array}$

Now, to find the value of square root,

  $\begin{array}{l}\sqrt[3]{26.8}=2.930+0.0296\\ \sqrt[3]{26.8}=2.9596\text{ [add]}\end{array}$

Thus, The value of cube root is $2.9596$ .