Answer:
The answer to your question is letter C.
Step-by-step explanation:
[tex]\sqrt{50x^{3}}[/tex] Find the prime factors of 50
50 2
25 5
5 5
1
50 = 2 5²
[tex]\sqrt{5^{2} 2 x^{2} x} = 5 x\sqrt{2x}[/tex]
[tex]\sqrt{32x^{2}}[/tex] Find the prime factors of 32
32 2
16 2
8 2
4 2
2 2
1
32 = 2⁴2[tex]\sqrt{32x^{2}} = 2^{2} x\sqrt{2} = 4x\sqrt{2}[/tex]
Division [tex]5x\sqrt{2}\sqrt{x} / 4x\sqrt{2}[/tex]
Simplification [tex]\frac{5\sqrt{x}}{4}[/tex]
