Question

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

√72x^3 divided by √50x^2
a.6x/5
b.√22x
c.6√x/5
d.√72x^3 - 50x^2

Answer 1

Answer to your question is C. 6 sqrt x / 5

Answer 2

`{\sqrt{\frac{72x^(3)}{50x^{{2}}}} = \frac{\sqrt{72x^(3)}}{\sqrt{50x^(2)}} = \frac {\sqrt{36 * x^(2) * 2 * x}}{\sqrt{25 * x^(2) * 2}} = \frac{√(36)\sqrt{x^(2)}√(2)√(x)}{√(25)\sqrt{x^(2)}√(2)} = (6x√(2x))/(5x√(2)) = 1(1)/(5)√(x)`

The answer is equal to C.
`(6√(x))/(5)`.