Question

Which expression is equivalent to √48x5, if x> 0?

Answer 1

Answer:

C. 4x²√(3x)

Step-by-step explanation:

if x > 0

$\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}$

          $=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}$

          $=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}$

          $=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}$

          $=4\times \sqrt{3} \times x^{2}\times \sqrt{x}$

          $=4\times x^{2} \times \sqrt{3} \times \sqrt{x}$

          $=4\times x^{2}\times \sqrt{3x}$