Question
Given xgt 0 , rewrite the following expression in simplest radical form. sqrt [4](16x^8)cdot sqrt (9x^5) Answer Attemptiout of square
Solution
4.3
(391 Votos)
Valeska
Elite · Tutor por 8 anos
Resposta
To simplify the given expression, we need to rewrite each radical separately and then multiply the results.First, let's simplify
:
We know that
and \(x^8 = (x^2)^4\). Therefore,
Next, let's simplify
:
We know that
. Therefore,
Now, we combine the simplified forms:
This simplifies to:
Finally, we can rewrite
as
:
Thus, the simplest radical form of the given expression is: