Chapter A.1, Problem 13E

Solution

Use a calculator to evaluate the expression.

  $4$ .

Given:

The given expression is $\sqrt[4]{256}$ .

Concept Used:

• Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.

Calculation:

The given expression is $\sqrt[4]{256}$ .

Square root of $\sqrt[4]{256}$ is:

Let $x=\sqrt[4]{256}$

  $\begin{array}{l}x=\sqrt[4]{256}\\ x=\sqrt[4]{(4)\cdot (4)\cdot (4)\cdot (4)}\\ x=4\end{array}$

Thus the solution of given expression $\sqrt[4]{256}$ is $4$ .