Soru
sqrt[3](3) cdot sqrt[3](3) cdot sqrt[6](3)
Çözüm
4.6
(223 Oylar)
Yelda
Kıdemli · 12 yıl öğretmeni
Uzman doğrulaması
Cevap
To simplify the expression
, we can use the properties of exponents and radicals.First, recall that
can be written as
and
can be written as
.So, the expression becomes:
Using the property of exponents that states
, we can combine the exponents:
Next, we need to find a common denominator for the fractions
and
. The least common multiple of 3 and 6 is 6. Converting the fractions:
So, the expression becomes:
Adding the fractions:
Thus, the expression simplifies to:
Therefore, the simplified form of
is: