Answer:
option B
Step-by-step explanation:
[tex]\sqrt{16x^3} \ divide \ \sqrt{8x}[/tex]
To find equivalent to the quotient ,lets divide the terms
[tex]\frac{\sqrt{16x^3}}{ \sqrt{8x} }[/tex]
Both numerator and denominator have same square root so we take square root in common.
Apply exponential property, a^m divide a^m= a^{m-n)
Subtract the exponents when the base of exponents are same and the exponents are in division. 16 divide by 8 is 2
[tex]\frac{x^3}{x}=x^{3-1}=x^2[/tex]
[tex]\sqrt{\frac{16x^3}{8x} }[/tex]
[tex]\sqrt{2x^2}=x\sqrt{2}[/tex]
