Respuesta :

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!

Answer/Step-by-step explanation:

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

Let's say you want to solve [tex]2\sqrt{3}[/tex] ⋅ [tex]3\sqrt{8}[/tex].

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

Then multiply 6 x [tex]// ignore^{2}[/tex] 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 [tex]2\sqrt{3}[/tex] ⋅ [tex]3\sqrt{8}[/tex] into [tex]2\sqrt{3}[/tex] ⋅ [tex]3\sqrt{4.2}[/tex]

[tex]2\sqrt{3}[/tex] ⋅ 3 ⋅ [tex]2\sqrt{2}[/tex]

           v

          6

Answer:

[tex]12\sqrt{6}[/tex]

Will do add-ons later :)

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