Answer:
C. 4x²√(3x)
Step-by-step explanation:
if x > 0
[tex]\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}[/tex]
[tex]=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}[/tex]
[tex]=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}[/tex]
[tex]=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}[/tex]
[tex]=4\times \sqrt{3} \times x^{2}\times \sqrt{x}[/tex]
[tex]=4\times x^{2} \times \sqrt{3} \times \sqrt{x}[/tex]
[tex]=4\times x^{2}\times \sqrt{3x}[/tex]
