Question

Simplify. (3/4√15) (16√5) A60√5 B 60√3 C 50√3

Answer 1

Answer: OPTION B

Step-by-step explanation:

You have the following expresion:

$(\frac{3}{4}\sqrt{15})(16\sqrt{5})$

Mulitply them, then:

$=12\sqrt{75}$

Now, descompose the number inside the square root into it primes factor to simplify the expression:

75=5*5*3=5²*3

Substitute:

$=12\sqrt{5^2*3}$

Simplify. Then, you obtain:

$=12*5\sqrt{3}$

$=60\sqrt{3}$