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 :)