Chapter 1.4, Problem 26PPE

To determine

To Evaluate: The expression $\frac{3ab+c^2}{a}$

Answer to Problem 26PPE

  $\frac{3ab+c^2}{a}=44$

Explanation of Solution

Given information:

The expression $\frac{3ab+c^2}{a}$ and value of $a=8,b=4\&c=16$

Concept and Formula Used:

Rule of exponent and addition and subtraction.

  $a^n=a\times a\times a\times \mathrm{..................}n\text{ times}\text{.}$

BODMAS rule

Calculation:

The given expression is $\frac{3ab+c^2}{a}$

Putting the values of $a=8,b=4\&c=16$ in the expression

  $\begin{array}{l}\frac{3ab+c^2}{a}=\frac{3\cdot 8\cdot 4+{16}^2}{8}\\ {\text{Evaluate the power 16}}^2\\ \frac{3ab+c^2}{a}=\frac{3\cdot 8\cdot 4+256}{8}\\ \text{Multiply 3,4\&8 in the numerator}\\ \frac{3ab+c^2}{a}=\frac{96+256}{8}\\ \text{Add 96\&256 in the numerator}\\ \frac{3ab+c^2}{a}=\frac{352}{8}\\ \text{Simplify }\\ \frac{3ab+c^2}{a}=44\end{array}$

Conclusion:

  $\frac{3ab+c^2}{a}=44$