Chapter A.1, Problem 7E

Solution

Evaluate the expression without using a calculator.

  $12$ .

Given:

The given expression is $\sqrt{144}$ .

Concept Used:

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

Calculation:

The given expression is $\sqrt{144}$ .

Square root of $\sqrt{144}$ is:

Let $x=\sqrt[2]{144}$

  $\begin{array}{l}x=\sqrt[2]{144}\\ $ x={(144)}^{1/2}$$ x={(12\cdot 12)}^{1/2}$x={\left({12}^2\right)}^{1/2}\\ x=12\end{array}$

Thus the solution of given expression $\sqrt{144}$ is $12$ .