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

Question

asked Mar 10, 2020 69.9k views

2 Answers

Agnaramon · Answer 1 · 2020-03-15T00:22:51+0000

Answer:

option B

Explanation:

$√(16x^3) \ divide \ √(8x)$

To find equivalent to the quotient ,lets divide the terms

(√(16x^3))/( √(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

(x^3)/(x)=x^(3-1)=x^2

$\sqrt{(16x^3)/(8x) }$

√(2x^2)=x√(2)