Question

Which choice is equivalent to the quotient shown here when x > 0

Answer 1

the answer is c- but its a little confusing because 0 multiplied by anything will always be 0

Answer 2

Answer:

option B

Step-by-step explanation:

$\sqrt{16x^3} \ divide \ \sqrt{8x}$

To find equivalent to the quotient ,lets divide the terms

$\frac{\sqrt{16x^3}}{ \sqrt{8x} }$

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

$\frac{x^3}{x}=x^{3-1}=x^2$

$\sqrt{\frac{16x^3}{8x} }$

$\sqrt{2x^2}=x\sqrt{2}$