Q. 234 - Intermediate Algebra

Question

Simplify:

$\left(-4\sqrt{17}\right)\left(-3\sqrt{17}\right)$

Step-by-Step Solution

Answer

The value of the given expression is $204$.

Step 1. Given information

The given expression is $\left(-4\sqrt{17}\right)\left(-3\sqrt{17}\right)$

Step 2. Simplifying the expression

We know that,

 $\left(\sqrt[n]{a}\right)\left(\sqrt[n]{b}\right)=\sqrt[n]{ab}$

Then,

$$\begin{gathered} \left(-4\sqrt{17}\right)\left(-3\sqrt{17}\right) \\ \left(-4\right)\left(-3\right)\sqrt{17·17} \\ 12·17 \\ 204 \end{gathered}$$