Problemas
8 / 25 In simplest radical form, -5 sqrt( ) 75 is equivalent to: -25 sqrt(3) 5 sqrt(3) -15 sqrt(5) sqrt(3)
Roztwór
Dafne
élite · Tutor durante 8 años
4
(251 Votos)
Respuesta
To simplify the expression
, we need to break down the number 75 into its prime factors.The prime factorization of 75 is
. Therefore, we can rewrite the expression as:
Using the property of square roots, we can separate the factors under the square root:
Since
, we can simplify further:
Finally, we can multiply the constants:
Therefore, the expression
is equivalent to
.The correct answer is
.