Question

How do you Multiply Radicals?

Answer 1

Answer/Step-by-step explanation:

Operations with radicals are very similar to the operations for polynomials.

Let's say you want to solve $2\sqrt{3}$ ⋅ $3\sqrt{8}$.

So, you would want to multiply 2x * 3x and it will equal 6*

Then multiply 6 x $// ignore^{2}$ which is squared.

The exact same method is used with our radicals:

2 *  3 = 6 and then our square root of 3 * 8.

Note: Before you start multiplying these radicals, make sure you simplify first.

In this case we can turn $2\sqrt{3}$ ⋅ $3\sqrt{8}$ into $2\sqrt{3}$ ⋅ $3\sqrt{4.2}$

$2\sqrt{3}$ ⋅ 3 ⋅ $2\sqrt{2}$

           v

          6

Answer:

$12\sqrt{6}$

Will do add-ons later :)

Answer 2

Answer:

Step 1: If the radicals have the same index, multiply terms the outside the radical with terms outside the radical and terms inside the radical with terms inside the radical.

Step 2: Simplify the radicals.

Step 3: Multiply the terms outside the radical

Step-by-step explanation:

Hope this helps!