Question

Which choice is equivalent to the quotient shown here when x>=0 square root of 35x^5 divided by the square root of 7x^3

A. 5x

B. 5x^2

C. x^2 square root 5

D. x square root 5

Answer 1

x√5 = x square root 5

Explanation:

√35x^5 ÷ √7x^3 = √(35x^5 / 7x^3)

√(35x^5 / 7x^3) = √(5x^5 / x^3)

√(5x^5 / x^3) = √5x^(5-3) = √5x²

√5x² = x√5