Answer: OPTION B
Step-by-step explanation:
You have the following expresion:
[tex](\frac{3}{4}\sqrt{15})(16\sqrt{5})[/tex]
Mulitply them, then:
[tex]=12\sqrt{75}[/tex]
Now, descompose the number inside the square root into it primes factor to simplify the expression:
75=5*5*3=5²*3
Substitute:
[tex]=12\sqrt{5^2*3}[/tex]
Simplify. Then, you obtain:
[tex]=12*5\sqrt{3}[/tex]
[tex]=60\sqrt{3}[/tex]
