Q. 238 - Intermediate Algebra

Question

In the following exercises, multiply.

$\sqrt{3}(4-3\sqrt{3})$

Step-by-Step Solution

Answer

The multiplication of $\sqrt{3}(4-3\sqrt{3})$ is $4\sqrt{3}-9$

Step 1. Given

An expression $\sqrt{3}(4-3\sqrt{3})$

To multiply the numbers.

Step 2. Multiply the expression

By multiplying the expression, we get,

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

                       $=4\sqrt{3}-3\sqrt{3^2}$

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

                      $=4\sqrt{3}-9$