Chapter A.1, Problem 1E

Solution

Find the indicated real roots. Square root of 81.

9.

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.

Square root of 81 is:

Let $x^2=81$

  $\begin{array}{l}x=\sqrt[2]{81}\\ $ x={(81)}^{1/2}$$ x={(3\cdot 3\cdot 3\cdot 3)}^{1/2}$$ x={(3^4)}^{1/2}$x=3^2\\ x=9\end{array}$

Thus the indicated square root of 81 is 9.