Chapter A.1, Problem 2E

Solution

Find the indicated real roots. Fourth root of 81.

3.

Given:

The given no. is 81.

Concept Used:

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

Calculation:

The given number is 81.

Fourth root of 81 is:

Let $x^4=81$

  $\begin{array}{l}x=\sqrt[4]{81}\\ $ x={(81)}^{1/4}$$ x={(3\cdot 3\cdot 3\cdot 3)}^{1/4}$$ x={(3^4)}^{1/4}$x=3\end{array}$

Thus the fourth root of 81 is 3.