Chapter A.1, Problem 5E

Solution

Find the indicated real roots. Square root of $\frac{16}{9}$ .

  $\frac{4}{3}$ .

Given:

The given no. is $\frac{16}{9}$ .

Concept Used:

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

Calculation:

The given number is $\frac{16}{9}$ .

Square root of $\frac{16}{9}$ is:

Let $x^2=\frac{16}{9}$

  $\begin{array}{l}x=\sqrt[2]{\frac{16}{9}}\\ $ x={(\frac{16}{9})}^{1/2}$$ x={(\frac{4\cdot 4}{3\cdot 3})}^{1/2}$$ x={(\frac{4^2}{3^2})}^{1/2}$$ x=\frac{{(4^2)}^{1/2}}{{(3^2)}^{1/2}}$x=\frac{4}{3}\end{array}$

Thus the square root of $\frac{16}{9}$ is $\frac{4}{3}$ .