Chapter 3, Problem 4CLR

To determine

To solve:Theexpression.

Answer to Problem 4CLR

The value ofexpression is $2$ .

Explanation of Solution

Given Information:In this question, expressionand value of $a$ and $b$ is given for simplification.

Concept Used:

Following steps must be taken to simplify the expression.

Step $1$ : First we have to simplify expression inside the Mod.

  $\Rightarrow \left|\left(-x\right)\right|=x,\left|\left(+x\right)\right|=x$ .

Step $2$ : Then simplify expression.

Calculation:

Expression is given as: $\Rightarrow \frac{\left|a\right|+\left|b\right|}{\left|a+b\right|}$ , where $a=-6,b=2$

As per the above-mentioned concept,

  $\Rightarrow \frac{\left|-6\right|+\left|2\right|}{\left|-6+2\right|}=\frac{6+2}{\left|-4\right|}=\frac{8}{4}=2$ .

The value of expression $\frac{\left|a\right|+\left|b\right|}{\left|a+b\right|}$ is $2$ .