Chapter A.1, Problem 16E

Solution

Use a calculator to evaluate the expression.

  $3.5$ .

Given:

The given expression is $\sqrt[]{12.25}$ .

Concept Used:

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

Calculation:

The given expression is $\sqrt[]{12.25}$ .

Square root of $\sqrt[]{12.25}$ is:

Let $x=\sqrt[]{12.25}$

  $\begin{array}{l}x=\sqrt[2]{12.25}\\ x=\sqrt[2]{(3.5)\cdot (3.5)}\\ x=3.5\end{array}$

Thus the solution of given expression $\sqrt[]{12.25}$ is $3.5$ .