Chapter 1: Q52. (page 13)

Evaluate the expression $\frac{3 a b + c^{2}}{a}$ if $a = 8, b = 4, c = 16$ .

Short Answer

Expert verified

The value of the expression $\frac{3 a b + c^{2}}{a}$ is 44.

Step by step solution

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the bracket operation must be completed followed division, by multiplication, addition, and finally subtraction.

Step 2. Example of applying BODMAS rule.

The expression $5 b - \frac{2 a}{c}$ where $a = 3, b = 4, c = 2$ can be written as

$\begin{array}{l} 5 b - \frac{2 a}{c} = 5 (4) - \frac{2 (3)}{2} \\ = (5 \times 4) - \frac{(2 \times 3)}{2} \\ = 20 - 3 \\ = 17 \end{array}$

Step 3. DESCRIPTION OF STEP.

Substituting $a = 8, b = 4 andc = 16$ in $\frac{3 a b + c^{2}}{a}$

$\frac{3 a b + c^{2}}{a} = \frac{3 \cdot 8 \cdot 4 + 16^{2}}{8}$

$\begin{array}{l} {Evaluatethepower16}^{2} \\ \frac{3 a b + c^{2}}{a} = \frac{3 \cdot 8 \cdot 4 + 256}{8} \end{array}$

$\begin{array}{l} Multiply3, 4 &8inthenumerator \\ \frac{3 a b + c^{2}}{a} = \frac{96 + 256}{8} \end{array}$

$\begin{array}{l} Add96 &256inthenumerator \\ \frac{3 a b + c^{2}}{a} = \frac{352}{8} \end{array}$

$\begin{array}{l} Simplify \\ \frac{3 a b + c^{2}}{a} = 44 \end{array}$

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Evaluate the expression $\frac{3 a b + c^{2}}{a}$ if $a = 8, b = 4, c = 16$ .

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

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Evaluate the expression 3ab+c2aif a=8, b=4,c=16.

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Geometry

Calculus

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression $\frac{3 a b + c^{2}}{a}$ if $a = 8, b = 4, c = 16$ .