Respuesta :

carlosego
The first thing you can do in this case is to add both roots, since both have the same base.
 4 ^ 4 sqrt 2x + 6 ^ 4 sqrt 2x =
 10 ^ 4 sqrt 2x
 Then, the next thing you can do is rewrite the function as
 10 ^ 4 sqrt 2x = 10 * (2x) ^ (1/4)
 answer
 The simple form of the radical expression is
 10 * (2x) ^ (1/4)

The simplest form of the radical expression given as 2⁴√2x + 6⁴√2x is;

8∜2x

We want to find the simplest form of the radical expression given as;

2⁴√2x + 6⁴√2x

Now according to distributive property in algebra, it is given by;

a(b + c) = ab + ac

Applying the distributive property to our question, we have;

2∜2x + 6∜2x = (∜2x)(2 + 6)

⇒ 8∜2x

In conclusion, the simplest form of the radical expression 2⁴√2x + 6⁴√2x is 8∜2x

Read more at; https://brainly.com/question/2840048

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