Answer:
[tex] \frac{3 \sqrt{5} }{10} [/tex]
Step-by-step explanation:
Given the expression:
[tex] \frac{3 \sqrt{20} }{5 \sqrt{16} } [/tex]
The expression can be written in the form below:
[tex] = \frac{3 \sqrt{4 \times 5} }{5 \sqrt{4 \times 4} } [/tex]
Simplify further:
[tex] = \frac{3 \times \sqrt{4 \times \sqrt{5} } }{5 \times 4} \\ = \frac{3 \times 2 \times \sqrt{5} }{5 \times 4} \\ = \frac{6 \sqrt{5} }{20} \\ = \frac{3 \sqrt{5} }{10} [/tex]
The correct choice is B.
