Question
(sqrt[3](4)+2 sqrt(8))/(4 sqrt(8)-3 sqrt(6))
Solution
4.7
(387 Votos)
Victor
Mestre · Tutor por 5 anos
Resposta
To simplify the expression
, we can start by simplifying the numerator and denominator separately.First, let's simplify the numerator:
We know that
and
.So, the numerator becomes:
Now, let's simplify the denominator:
We know that
.So, the denominator becomes:
Now, we can rewrite the original expression as:
To simplify this expression further, we can factor out common terms in the numerator and denominator.In the numerator, we can factor out
:
In the denominator, we can factor out
:
Now, we can simplify the expression by canceling out common factors:
Finally, we can simplify the expression by canceling out the common factor of
in the numerator and denominator:
Therefore, the simplified form of the given expression is: