Chapter EP, Problem 7.4.4EP

To determine

To calculate: The simplified form of the expression $\sqrt[3]{-343}$ .

Answer to Problem 7.4.4EP

The simplified form of the expression $\sqrt[3]{-343}$ is $-7$ .

Explanation of Solution

Given information:

The expression $\sqrt[3]{-343}$ .

Formula used:

If a andb are real numbers and n is a positive integer if $a^n=b$ then a is an nth root of b .

Calculation:

Consider the expression $\sqrt[3]{-343}$ .

Enter the expression in the calculator.

Step 1: Press $\text{SHIFT}$ key and then $x^{\begin{array}{}\end{array}}$ key.

Step 2: Enter $\sqrt[3]{-343}$ .

Step 3: Press $=$ key.

Result obtained on screen is $-7$ .

When rounded off to three decimal places the value is $-7$ .

Thus, the simplified form of the expression $\sqrt[3]{-343}$ is $-7$ .