Problemas
22/25 In simplest radical form, -5sqrt (75) is equivalent to: -15sqrt (5) 5sqrt (3) -25sqrt (3)
Roztwór
Ernesto
veterano · Tutor durante 10 años
4.6
(318 Votos)
Respuesta
To simplify the expression
, we need to break down the number 75 into its prime factors.First, let's factorize 75:
So, the prime factorization of 75 is:
Now, we can rewrite the expression
using the prime factorization:
We can use the property of square roots that
:
Since
, we have:
Multiplying the constants, we get:
Therefore, the expression
simplifies to:
So, the correct answer is: