Problemas
Given xgt 0 , rewrite the following expression in simplest radical form. sqrt [4](16x)cdot sqrt [3](8x^2) Answer Attemptiout of 2 square
Roztwór
Ernesto
experto · Tutor durante 3 años
4.2
(198 Votos)
Respuesta
To simplify the expression
, we need to rewrite each radical in terms of fractional exponents and then combine them.First, let's rewrite each radical:
Next, we express 16 and 8 as powers of 2:
Substituting these into the expression, we get:
Now, we multiply the two simplified expressions:
Combine the coefficients and the exponents of
:
Calculate the product of the coefficients:
To add the exponents, find a common denominator:
So, the expression becomes:
Thus, the simplified form of the given expression is: