Chapter A.1, Problem 4E

Solution

Find the indicated real roots. Fifth root of 243.

3.

Given:

The given no. is 243.

Concept Used:

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

Calculation:

The given number is 243.

Fifth root of 243 is:

Let $x^5=243$

  $\begin{array}{l}x=\sqrt[5]{243}\\ $ x={(243)}^{1/5}$$ x={(3\cdot 3\cdot 3\cdot 3\cdot 3)}^{1/5}$$ x={(3^5)}^{1/5}$x=3\end{array}$

Thus the fifth root of 243 is 3.